{
"cells": [
{
"cell_type": "markdown",
"id": "fb4093cc",
"metadata": {},
"source": [
"(clv_quickstart)=\n",
"# CLV Quickstart"
]
},
{
"cell_type": "markdown",
"id": "55cf0b5e",
"metadata": {},
"source": [
"Customer Lifetime Value (CLV) is the measure of a customer's contribution over time to a business. This metric is used to inform spending levels on new customer acquisition, retention, and other marketing and sales efforts, so reliable estimation is essential.\n",
"\n",
"PyMC-Marketing provides tools to segment customers on their past behavior (see [RFM Segmentation](https://www.pymc-marketing.io/en/stable/api/generated/pymc_marketing.clv.utils.rfm_segments.html#pymc_marketing.clv.utils.rfm_segments)) as well as the following Buy Till You Die (BTYD) probabilistic models to predict future behavior:\n",
"\n",
"* **[BG/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)** for continuous time, non-contractual modeling\n",
"* **[Pareto/NBD model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)** for continuous time, non-contractual modeling\n",
"* **[Shifted BG model](https://pymc-marketing.io/en/stable/notebooks/clv/sBG.html)** for discrete time, contractual modeling\n",
"* **BG/BB model** for discrete time, contractual modeling (coming soon)\n",
"* **Exponential Gamma model** for discrete time, contractual modeling (coming soon)\n",
"* **[Gamma-Gamma model](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/gamma_gamma.html)** for expected monetary value\n",
"\n",
"This table contains a breakdown of the four BTYD modeling domains, and examples for each:\n",
"\n",
"| | **Non-contractual** | **Contractual** |\n",
"|----------------|---------------------|---------------------------------|\n",
"| **Continuous** | online purchases | ad conversion time |\n",
"| **Discrete** | concerts & sports events | recurring subscriptions |\n",
"\n",
"In this notebook we will demonstrate how to estimate future purchasing activity and CLV with the CDNOW dataset, a popular benchmarking dataset in CLV and BTYD research. Data is available [here](https://www.brucehardie.com/datasets/), with additional details [here](https://www.brucehardie.com/notes/026/)."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "65621d72",
"metadata": {},
"outputs": [],
"source": [
"import arviz as az\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"from arviz.labels import MapLabeller\n",
"\n",
"from pymc_marketing import clv"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "e43e42f6",
"metadata": {},
"outputs": [],
"source": [
"az.style.use(\"arviz-darkgrid\")\n",
"\n",
"%config InlineBackend.figure_format = \"retina\" # nice looking plots"
]
},
{
"cell_type": "markdown",
"id": "fa22b108",
"metadata": {},
"source": [
"## 1.1 Data Requirements"
]
},
{
"cell_type": "markdown",
"id": "f773bb65",
"metadata": {},
"source": [
"For all models, the following nomenclature is used:\n",
"\n",
"* `customer_id` represents a unique identifier for each customer.\n",
"* `frequency` represents the number of _repeat_ purchases that a customer has made, i.e. one less than the total number of purchases.\n",
"* `T` represents a customer's \"age\", i.e. the duration between a customer's first purchase and the end of the period of study. In this example notebook, the units of time are in weeks.\n",
"* `recency` represents the time period when a customer made their most recent purchase. This is equal to the duration between a customer’s first and last purchase. If a customer has made only 1 purchase, their recency is 0.\n",
"* `monetary_value` represents the average value of a given customer’s repeat purchases. Customers who have only made a single purchase have monetary values of zero.\n",
"\n",
"The `rfm_summary` function can be used to preprocess raw transaction data for modeling:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "5b56f8db",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" customer_id frequency recency T monetary_value\n",
"0 1 3.0 49.0 78.0 23.723333\n",
"1 2 1.0 2.0 78.0 11.770000\n",
"2 3 0.0 0.0 78.0 0.000000\n",
"3 4 0.0 0.0 78.0 0.000000\n",
"4 5 0.0 0.0 78.0 0.000000\n",
"... ... ... ... ... ...\n",
"2352 2353 2.0 53.0 66.0 19.775000\n",
"2353 2354 5.0 24.0 66.0 44.928000\n",
"2354 2355 1.0 44.0 66.0 24.600000\n",
"2355 2356 6.0 62.0 66.0 31.871667\n",
"2356 2357 0.0 0.0 66.0 0.000000\n",
"\n",
"[2357 rows x 5 columns]"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rfm_data = clv.utils.rfm_summary(\n",
" raw_trans,\n",
" customer_id_col=\"id\",\n",
" datetime_col=\"date\",\n",
" monetary_value_col=\"spent\",\n",
" datetime_format=\"%Y%m%d\",\n",
" time_unit=\"W\",\n",
")\n",
"\n",
"rfm_data"
]
},
{
"cell_type": "markdown",
"id": "514ee548",
"metadata": {},
"source": [
"It is important to note these definitions differ from that used in RFM segmentation, where the first purchase is included, `T` is not used, and `recency` is the number of time periods since a customer's most recent purchase.\n",
"\n",
"To visualize data in RFM format, we can plot the recency and T of the customers with the `plot_customer_exposure` function. We see a large chunk (>60%) of customers haven't made another purchase in a while."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "d6431c58",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 511,
"width": 1011
}
},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(10, 5))\n",
"(\n",
" rfm_data.sample(n=100, random_state=42)\n",
" .sort_values([\"recency\", \"T\"])\n",
" .pipe(clv.plot_customer_exposure, ax=ax, linewidth=0.5, size=0.75)\n",
");"
]
},
{
"cell_type": "markdown",
"id": "d069bc02",
"metadata": {},
"source": [
"## Predicting Future Purchasing Behavior with the BG/NBD Model\n",
"\n",
"This dataset is an example of continuous time, noncontractual transactions because it comprises purchases from an online music store. PyMC-Marketing provides two models for this use case:\n",
"\n",
"- [Beta-Geometric/Negative Binomial Distribution (BG/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/bg_nbd.html)\n",
"- [Pareto/Negative Binomial Distribution (Pareto/NBD)](https://pymc-marketing.readthedocs.io/en/stable/notebooks/clv/pareto_nbd.html)\n",
"\n",
"We will be using the BG/NBD model in this notebook because it converges quickly and works well for basic modeling tasks. However, if a more comprehensive analysis is desired, consider using the Pareto/NBD model instead due to its expanded functionality, including support for covariates."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "2ac219da",
"metadata": {},
"outputs": [],
"source": [
"bgm = clv.BetaGeoModel(data=rfm_data)\n",
"bgm.build_model()"
]
},
{
"cell_type": "markdown",
"id": "45e53414",
"metadata": {},
"source": [
"This model has 4 parameters that specify the global frequency and dropout rates of customers."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "40d5f47d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" a ~ HalfFlat()\n",
" b ~ HalfFlat()\n",
" alpha ~ HalfFlat()\n",
" r ~ HalfFlat()\n",
"likelihood ~ Potential(f(r, alpha, b, a))"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm"
]
},
{
"cell_type": "markdown",
"id": "27369174",
"metadata": {},
"source": [
"The default priors for the 4 parameters follow a HalfFlat distribution, which is an improper positive uniform distribution. For small datasets this prior can yield implausible posteriors. To avoid this problem, more informative priors can be specified by defining custom PyMC distributions.\n",
"\n",
"Here, we will replace the HalfFlat default by more well-behaved HalfNormal priors with a standard deviation of 10.\n",
"Customization priors is possible by passing a dictionary with keys being the name of the prior, and values being a dictionary with 2 keys: 'dist' representing the name of PyMC distribution and 'kwargs' that holds an optional dictionary of all parameters we wish to pass to the distribution"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "3af6449f",
"metadata": {},
"outputs": [],
"source": [
"model_config = {\n",
" \"a_prior\": {\"dist\": \"HalfNormal\", \"kwargs\": {\"sigma\": 10}},\n",
" \"b_prior\": {\"dist\": \"HalfNormal\", \"kwargs\": {\"sigma\": 10}},\n",
" \"alpha_prior\": {\"dist\": \"HalfNormal\", \"kwargs\": {\"sigma\": 10}},\n",
" \"r_prior\": {\"dist\": \"HalfNormal\", \"kwargs\": {\"sigma\": 10}},\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "cc17d278",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"BG/NBD\n",
" a ~ HalfNormal(0, 10)\n",
" b ~ HalfNormal(0, 10)\n",
" alpha ~ HalfNormal(0, 10)\n",
" r ~ HalfNormal(0, 10)\n",
"likelihood ~ Potential(f(r, alpha, b, a))"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm = clv.BetaGeoModel(\n",
" data=rfm_data,\n",
" model_config=model_config,\n",
")\n",
"bgm.build_model()\n",
"bgm"
]
},
{
"cell_type": "markdown",
"id": "9a75b798",
"metadata": {},
"source": [
"Having specified the model, we can now fit it."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "d0667779",
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (2 chains in 2 jobs)\n",
"NUTS: [a, b, alpha, r]\n"
]
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "09668fdcebb3418ebffb5dafac5170a9",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n"
],
"text/plain": []
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"
\n",
"
\n"
],
"text/plain": [
"\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 2 chains for 1_000 tune and 1_000 draw iterations (2_000 + 2_000 draws total) took 114 seconds.\n",
"We recommend running at least 4 chains for robust computation of convergence diagnostics\n"
]
},
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
"
\n",
"
\n",
"
mean
\n",
"
sd
\n",
"
hdi_3%
\n",
"
hdi_97%
\n",
"
mcse_mean
\n",
"
mcse_sd
\n",
"
ess_bulk
\n",
"
ess_tail
\n",
"
r_hat
\n",
"
\n",
" \n",
" \n",
"
\n",
"
a
\n",
"
0.700
\n",
"
0.157
\n",
"
0.432
\n",
"
0.991
\n",
"
0.006
\n",
"
0.004
\n",
"
859.0
\n",
"
958.0
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"
1.0
\n",
"
\n",
"
\n",
"
b
\n",
"
3.338
\n",
"
0.990
\n",
"
1.837
\n",
"
5.291
\n",
"
0.036
\n",
"
0.026
\n",
"
862.0
\n",
"
987.0
\n",
"
1.0
\n",
"
\n",
"
\n",
"
alpha
\n",
"
7.101
\n",
"
0.505
\n",
"
6.199
\n",
"
8.024
\n",
"
0.018
\n",
"
0.013
\n",
"
797.0
\n",
"
943.0
\n",
"
1.0
\n",
"
\n",
"
\n",
"
r
\n",
"
0.277
\n",
"
0.012
\n",
"
0.256
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"
0.300
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"
0.000
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"
0.000
\n",
"
766.0
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"
868.0
\n",
"
1.0
\n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd hdi_3% hdi_97% mcse_mean mcse_sd ess_bulk ess_tail \\\n",
"a 0.700 0.157 0.432 0.991 0.006 0.004 859.0 958.0 \n",
"b 3.338 0.990 1.837 5.291 0.036 0.026 862.0 987.0 \n",
"alpha 7.101 0.505 6.199 8.024 0.018 0.013 797.0 943.0 \n",
"r 0.277 0.012 0.256 0.300 0.000 0.000 766.0 868.0 \n",
"\n",
" r_hat \n",
"a 1.0 \n",
"b 1.0 \n",
"alpha 1.0 \n",
"r 1.0 "
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"bgm.fit()\n",
"bgm.fit_summary()"
]
},
{
"cell_type": "markdown",
"id": "6cfec565",
"metadata": {},
"source": [
"We can use [ArviZ](https://python.arviz.org/en/stable/), a Python library tailored to produce visualizations for Bayesian models, to plot the posterior distribution of each parameter."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "fe4ab5d7",
"metadata": {},
"outputs": [
{
"data": {
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FClYtmks3NzeqWJEDCwEAABISG2s1/B33w6DLlZXefM3I05N3KAAAAADIaLy8jFq3klq3MjpwwOrn2VZz50vnz7uXjY6WFv5ptfBPqUJ5qXMn6bZbpFy56O8BAAAAQFo5fdpq/KdW8xcknJ8/vzSgv1GbVvTNAAAAAAAAriZnTqNHH5Y63S1NnW41fYYUFu4sY620aIm0aIlVo4ZWjz1iVLsWYy8AACDtREdb/bPdtbd9XZDVtr+lqKjk1y9bVmrb2qhNK6lMGd5bAAAAAAAAMpMcOYzu7Szd2U768Sfpu+9tgvs79+yVhr9jNfEz6f77pLs7SLlzMxYEZBcE90GW8M92q8EvWUVGOtMfflB6sCtfagAAAAAAZCQ5cxo1ayo1a2pkrdWBA9LyldLSZVZbt7k2XiTm392un6++tioRILVqadW6pVGVKgT6AQAAkCRrrcZ9YrXwL2e6v7804h3DYgAAAAAAyARKlzZ6po9Rj+5Wf/4lzfrFdUhAQnbvkUaOsvrkU6n9HVadOxmVLkXfDwAAAABSS0SE1fQfpG8nW4WGuucbI3W8W+rR3cgvL/0xAAAAAACAlMib1+ipbkZd7rWa/L3VrF+k8HD3cqvXSKvXWNWu5Qry07ABe8kAAMD1i4212rPXFcwnKMhqwyYpLCxl9yhfTrq5hdSmtVH5cryfAAAAAAAAZHa+vkYPPyh1vEv65Vdp+g9WJ0+6lztxUhr3idXX30idOlp1udeoUEHGh4CsjuA+yPS2b7d67nmrixed6Xe2l57uwRcZAAAAAAAZmTFGZcpIZcpIDz1gdPq01YqV0tLlVmvXyS2Q75UOH5EmT5EmT7EqVtQV6KdVS6NqN0keHowJAACA7Onrb6VpM5xpOXNKI98zKl6cdyQAAAAAyEx8fIza3SG1u8No5y6rn2ZJvy+0CR5kdPGiNONHacaPVg3qW93TyahpE8nTk74gAAAAAFwLa10BVz/51OrY8YTLVK4svfCcUbWb6HsBAAAAAABcD//8Rn17Gz3ykNWMH61+nClduOhebtNm6flBVuXLSffeI91+q+uANQAAgOSw1urIEWndeilovdX6DVJISMrukTu31CBQatTQqFFDqUgR3kUAAAAAAACyojx5jB56QOpyj/T7QmnKVKt9+93LXbgoffe9NG2G1e23Wt3fxah8ecaMgKyK4D7I1LbvsOr/gnVbkNGiuTRwgJExfIEBAAAAAJCZFChg1OFOqcOdRmFhVmvWScuWuQL+nD2XeL1jx6Wp06Wp062KFJZa3mzVto1R9WpifAAAAGQbU6dbff6ldaR5ekpvDzWqUpl3IgAAAADIzCpXMnpxkNGQF/006+cIfT8lVIcOJ1x27Tpp7TqrokWlTndLHe50HYQEAAAAAEiev/+xGjvOasvWhPNz55Z6dDPq1JGgqgAAAAAAAKkpf36jp7oZPfSA1cxZrkPQEjpwf89e6f0PrCZMlDq0t7qnk1Hx4ozTAAAAd6dOWQVtcAXzCQpy7UlPCU8P6aabpMB6UoP6RjWqS15evHcAAAAAAABkFzlyGN3ZTmp3u7RylfT9VKtNm93LRUVJv86Vfp1rVbuWVaeORi1buOoDyDoI7oNMa8tWq4EvWl244Exv2EB641XD5AcAAAAAAJlczpyuQemWLYyio622bpOWLrdaslQ6ejTxesEnpBk/SjN+tCpeTGrbxuqWtkYVyhPoBwAAZF2zfrb6eLx1S39psFGD+rwDAQAAAEBWkc/PQ/97NKfuujNcq9dYzZxltXKVZN27hDp+XPr0M6svJ0ltWrsOM6p2E2PlAAAAAJCYPXusvphktXhJ4mXa3S717GFUqCB9KwAAAAAAgLSSO7fRow9L990rzZ4jTZlqFXzCvdz589KUaa4gQM2aWHW516heXebFAQDIzi5csNq4SVr3XzCfvftSfo8K5V3BfALrGdWp7Xo3AQAAAAAAQPbm4WHUrKnUrKnR1m1W30+1Wros4b2dmzZLmzZb5c8v3XWn1d0djIoXZ4wJyAoI7oNMafUaq5dfswoPd6Y3qC+9M8zIx4cvKQAAAAAAshIvL9fixzq1jfr2stq5S1q02OqvRdKhw4nXO3pM+u576bvvrcqWlW5pI93aVipRgrEDAACQdfz0s9UHH7rP9A/ob3T7bbz3AAAAAEBW5OFh1LiR1LiR0ZGjVrN+sfp1jnTunHvZqChpwW/Sgt+sqlSW7u0stW0j1tkBAAAAwH8OHHAF9fnzr4Q32EpSndpS395GVavQlwIAAAAAAEgvvr5G990rdbrbNe89earVwYPu5WJjpaXLpaXLrcqVle7p7NpHljcvYzkAAGR1ERFWW7ZKQeutgtZL23e43g1Sonhxqf5/wXzq1ZUKFOAdAgAAAAAAAImrUd3o7aFGBw5aTZ1uNX++FBnlXi4kRPp2suscxCaNrTp3NGrYQPL0ZPwJyKwI7oNM589FVm8Ns4qOdqbXD5TeHU5gHwAAAAAAsjpjjKpUlqpUNurR3erf3ZcD/RxIYHPGJfv2SZ9/afX5l9JNN1nd2saoTWupUCHGEgAAQOY1fYbVmHHuJ4z1ftronk685wAAAABAdhBQ3Kh3T6Nuj1st/FOaOctq+46Ey+7YKb39ntXHn0gd2lt16mgUUJz+IwAAAIDs6fARq0lfWy34PfFD3gICpD5PG93cwrVuCQAAAAAAAOnP29uow51S+3bSmrXSjz9ZrVyVcNm9+6QPPrQa+7HUooVVu9uNGtTnkDQAALKK6GirHTuloPWugD5btiR8cGpS/P2lenWl+vWMAgPFGjoAAAAAAABck9KljAY9b9T9Casff7Ka/at0+ox7OWulFSulFSutiheT7rjd6o7bjEqUYFwKyGwI7oNMw1qr6T9IH4+3svHOqGvaWBr6JoF9AAAAAADIbowxqlRRqlTRqPuTVnv3SX8tch1emFSgn3/+kf75x2rseKluHatb2hq1ulny82NsAQAAZA7WWn33vfTpZ+6Bfbo9YfTQA7zXAAAAAEB24+Nj1L6d1L6d0d//WM2cZfXnnwkfXHDunPT9VGnKNKsmjaw6dzZq1EDy8KA/CQAAACDr27XLavJUq7/+kmISCeqTN6/06MNGXe6RcuSgrwQAAAAAAJAReHgYNW4kNW5kdPCQ1cyfrObMk0JD3ctGRkkL/5QW/mlVqJB0262uQD/lyjLWAwBAZmKta//4pWA+GzZKFy+m7B65ckl1al8O5lO+nGuPOgAAAAAAAJAaChQweqqb0eOPWS1ZJv00y2rjpoTLHj0mffW19NXXVrVquuavWreS8uRhvArIDAjug0whJsZq7DirH2a65916i/Tyi0ZeXnzxAAAAAACQnRljVL6cVL6c0ZOPW+36V/pjodUff0rBwQnXsVZav0Fav8Fq1GipYQNXoJ/mTaVcuRhrAAAAGVNS8ybdnzR6/DHeYwAAAAAgu6t2k1G1m4z69LL6dY406xer48fdy1krrVglrVhlVbKE1Kmj1L6d5JeXviUAAACArMVaq/UbpMlTrNasTbxc7txS1/uM7u/CJlkAAAAAAICMrFRJo2efMXqqm9W8+dKPP1kdOJhw2ZMnpe+nSN9PsbqpqlW7O4zatJLy52f8BwCAjOjYMat1/wXzWb9eOnU6ZfW9vaUa1aXAekb1A6WqVcQZdQAAAAAAAEhz3t5GbVtLbVsb7dlr9fMvVvN/SzxY9eYt0uYtVh+OkW5u4Qr0Uz9Q8vRkLAvIqAjugwzv3HmrocOtVq5yz+vUURrwrJGHB180AAAAAADgMmOMKleSKlcyerqH1Zat0h9/Wv31lxRyNuE60dHSipXSipVWvr5SsyZWbdsYNWoo+fgw9gAAADKG8HCrN4dZLV3mnterp9HDD/LeAgAAAAC4zD+/0aMPSw89IK1cJc2clfgh1ocOSx+Pt/rsC6ltG6u7OxhVr+YacwcAAACAzCoqymrxEmnKNKsdOxMvl9NX6nKv9GBXIz8/+kEAAAAAAACZRa5cRvfeI3XuJK1dJ/0822rFStdesYT8s136Z7vVR2OkOnWsbm5hdHNzqXBhxoQAALhRzp2zWr9BWrvOal2QdPhIyup7eEhVKkuB9VwBfWrWkHx9+W4HAAAAAADAjVO+nNFzzxr1fMrq94XSrJ+tdv2bcNnISOmPhdIfC60KFpRuaWvVuqVRtZtE/AUggyG4DzK0Xf9avfya1ZEEJlp6PmX0yEMcHAAAAAAAAJLm4WFUu5ZUu5bRs31dizr/+NNqyVIpNDThOuHh0sK/pIV/WeXOLbVs4Qr0E1hP8vJiLAIAANwYJ09aDXnV6p9/3PP69TG6/z7eUwAAAAAACfP0NGreTGrezOjAQaufZlnNmy9duOheNiJCmjtPmjvPqmwZqcOd0u23uQIFAQAAAEBmceKE1c+zrX6ZLZ0+k3i5nL5Sx7ulhx8y9HsAAAAAAAAyMQ8Po0YNpUYNjUJCrBb+Kc2dn3jA55hYKWi9FLTe6sOPpBrVXYF+WraQSpRgnAgAgLQUEWG1dZu0Lshq7Tppx07J2pTdo2yZy8F86tSR/PLy/Q0AAAAAAICMJ1cuo453SXd3kLbvkOYvcAX7OXcu4fKnTknTpkvTplsVKSy1vNmqVUtXQGsC/QA3HsF9kGEt+M1qxAdWERHOdC8v6aUXjW67hS8RAAAAAACQMl5eRo0bSY0bGUUMsFqx0hXoZ+VKKTIq4ToXL0pz57s2c+TPJ7VqaXVLW6NaNRnkBgAA6efvf6yGvGJ16pQz3dvbNW9ya1veSwAAAAAAyVO6lNGzzxj16G712x/SzFlWu3cnXHbffunj8VYTJkrNm1nddadR/UBXsCAAAAAAyGistdqw0dXPWbrUdUBrYvLnl+6716hzR8nPjz4OAAAAAABAVpI/v9G990j33mO0Z4/VvAVWv/0unTqdeJ2t26St26zGT5AqVrBqebNR0yZS5UqSMYwfAQBwPWJjrf7dLa0LcgX02bRZbmfLXU2RIlL9/4L5BNa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"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 653
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_frequency_recency_matrix(bgm);"
]
},
{
"cell_type": "markdown",
"id": "0aa508f9",
"metadata": {},
"source": [
"We can see our best customers have been active for over 60 weeks and have made over 20 purchases (bottom-right). Note the “tail” sweeping up towards the upper-left corner - these customers are infrequent and/or may not have purchased recently. What is the probability they are still active? "
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "bcb184f3",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 532
}
},
"output_type": "display_data"
}
],
"source": [
"clv.plot_probability_alive_matrix(bgm)"
]
},
{
"cell_type": "markdown",
"id": "a25bd48f",
"metadata": {},
"source": [
"Note that all non-repeat customers have an alive probability of 1, which is one of the quirks of `BetaGeoModel`. In many use cases this is still a valid assumption, but if non-repeat customers are a key focus in your use case, you may want to try `ParetoNBDModel` instead. \n",
"\n",
"Looking at the probability alive matrix, we can infer that customers who have made fewer purchases are less likely to return, and may be worth targeting for retention."
]
},
{
"cell_type": "markdown",
"id": "c7906da7",
"metadata": {},
"source": [
"### Ranking customers from best to worst"
]
},
{
"cell_type": "markdown",
"id": "49313fc3",
"metadata": {},
"source": [
"Having fit the model, we can ask what is the expected number of purchases for our customers in the next period. Let's look at the four more promising customers."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "f9748513",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 1175,
"width": 1667
}
},
"output_type": "display_data"
}
],
"source": [
"ids = [841, 1981, 157, 1516]\n",
"ax = az.plot_posterior(num_purchases.sel(customer_id=ids), grid=(2, 2))\n",
"for axi, id in zip(ax.ravel(), ids, strict=False):\n",
" axi.set_title(f\"Customer: {id}\", size=20)\n",
"plt.suptitle(\"Expected number purchases in the next period\", fontsize=28, y=1.05);"
]
},
{
"cell_type": "markdown",
"id": "56138ddf",
"metadata": {},
"source": [
"### Predicting purchase behavior of a new customer\n",
"\n",
"We can use the fitted model to predict the number of purchases for a fresh new customer."
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "88c3534c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_posterior(bgm.expected_purchases_new_customer(t=10).sel(customer_id=1))\n",
"plt.title(\"Expected purchases of a new customer in the first 10 periods\");"
]
},
{
"cell_type": "markdown",
"id": "ec50518a",
"metadata": {},
"source": [
"### Customer Probability Histories"
]
},
{
"cell_type": "markdown",
"id": "70f09789",
"metadata": {},
"source": [
"Given a customer transaction history, we can calculate their historical probability of being alive, according to our trained model. \n",
"\n",
"Let look at active customer 1516 and assess the change in probability that the user will ever return if they do no other purchases in the next 9 time periods."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "586147ea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"customer_id 1516.000000\n",
"frequency 27.000000\n",
"recency 67.000000\n",
"T 70.000000\n",
"monetary_value 51.944074\n",
"Name: 1515, dtype: float64"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"customer_1516 = rfm_data.loc[1515]\n",
"customer_1516"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "d263f46f",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_hdi(customer_1516_history[\"T\"], p_alive, color=\"C0\")\n",
"plt.plot(customer_1516_history[\"T\"], p_alive.mean((\"draw\", \"chain\")), marker=\"o\")\n",
"plt.axvline(\n",
" customer_1516_history[\"recency\"].iloc[0], c=\"black\", ls=\"--\", label=\"Purchase\"\n",
")\n",
"\n",
"plt.title(\"Probability Customer 1516 will purchase again\")\n",
"plt.xlabel(\"T\")\n",
"plt.ylabel(\"p\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "92918446",
"metadata": {},
"source": [
"We can see that, if no purchases are being made in the next 9 weeks, the model has low confidence that the costumer will ever return. What if they had done one purchase in between?"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "48bd5403",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"image/png": {
"height": 491,
"width": 731
}
},
"output_type": "display_data"
}
],
"source": [
"az.plot_hdi(customer_1516_history[\"T\"], p_alive, color=\"C0\")\n",
"plt.plot(customer_1516_history[\"T\"], p_alive.mean((\"draw\", \"chain\")), marker=\"o\")\n",
"plt.axvline(\n",
" customer_1516_history[\"recency\"].iloc[0], c=\"black\", ls=\"--\", label=\"Purchase\"\n",
")\n",
"plt.axvline(customer_1516_history[\"recency\"].iloc[-1], c=\"black\", ls=\"--\")\n",
"\n",
"plt.title(\"Probability Customer 1516 will purchase again\")\n",
"plt.xlabel(\"T\")\n",
"plt.ylabel(\"p\")\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"id": "a45c921f",
"metadata": {},
"source": [
"From the plot above, say that customer 1516 makes a purchase at week 73.5, just over 6 weeks after they have made their last recorded purchase. We can see that the probability of the customer returning quickly goes back up!"
]
},
{
"cell_type": "markdown",
"id": "815d2f63",
"metadata": {},
"source": [
"## Estimating Customer Lifetime Value Using the Gamma-Gamma Model"
]
},
{
"cell_type": "markdown",
"id": "1d26ffad",
"metadata": {},
"source": [
"Until now we’ve focused mainly on transaction frequencies and probabilities, but to estimate economic value we can use the Gamma-Gamma model.\n",
"\n",
"The Gamma-Gamma model assumes at least 1 repeat transaction has been observed per customer. As such we filter out those with zero repeat purchases."
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "ee66d183",
"metadata": {},
"outputs": [
{
"data": {
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1126 rows × 5 columns
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],
"text/plain": [
" customer_id frequency recency T monetary_value\n",
"0 1 3.0 49.0 78.0 23.723333\n",
"1 2 1.0 2.0 78.0 11.770000\n",
"5 6 14.0 76.0 78.0 76.503571\n",
"6 7 1.0 5.0 78.0 11.770000\n",
"7 8 1.0 61.0 78.0 26.760000\n",
"... ... ... ... ... ...\n",
"2351 2352 1.0 47.0 66.0 14.490000\n",
"2352 2353 2.0 53.0 66.0 19.775000\n",
"2353 2354 5.0 24.0 66.0 44.928000\n",
"2354 2355 1.0 44.0 66.0 24.600000\n",
"2355 2356 6.0 62.0 66.0 31.871667\n",
"\n",
"[1126 rows x 5 columns]"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nonzero_data = rfm_data.query(\"frequency>0\")\n",
"nonzero_data"
]
},
{
"cell_type": "markdown",
"id": "c844025c-8f6b-4128-a109-cf3af964ca04",
"metadata": {},
"source": [
"If computing the monetary value from your own data, note that it is the *mean* of a given customer’s value, *not* the sum. `monetary_value` can be used to represent profit, or revenue, or any value as long as it is consistently calculated for each customer.\n",
"\n",
"The Gamma-Gamma model relies upon the important assumption there is no relationship between the monetary value and the purchase frequency. In practice we need to check whether the Pearson correlation is less than 0.3:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "e8ccbfb7-1951-49fa-bf57-a43fbf5df4cc",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
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"\n",
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monetary_value
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frequency
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"text/plain": [
" monetary_value frequency\n",
"monetary_value 1.000000 0.052819\n",
"frequency 0.052819 1.000000"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"nonzero_data[[\"monetary_value\", \"frequency\"]].corr()"
]
},
{
"cell_type": "markdown",
"id": "057edfe6-ac7c-48f9-941f-6e5c047b09c5",
"metadata": {},
"source": [
"Transaction frequencies and monetary values are uncorrelated; we can now fit our Gamma-Gamma model to predict average spend and expected lifetime values of our customers"
]
},
{
"cell_type": "markdown",
"id": "3ad94288",
"metadata": {},
"source": [
"The Gamma-Gamma model takes in a 'data' parameter, a pandas DataFrame with 3 columns representing Customer ID, average spend of repeat purchases, and number of repeat purchase for that customer. As with the BG/NBD model, these parameters are given HalfFlat priors which can be too diffuse for small datasets. For this example, we will use the default priors, but other priors can be specified just like with the BG/NBD example above."
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "d2f5bf8c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Gamma-Gamma Model (Mean Transactions)\n",
" p ~ HalfFlat()\n",
" q ~ HalfFlat()\n",
" v ~ HalfFlat()\n",
"likelihood ~ Potential(f(q, p, v))"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"gg = clv.GammaGammaModel(data=nonzero_data)\n",
"gg.build_model()\n",
"gg"
]
},
{
"cell_type": "markdown",
"id": "cc7e4225",
"metadata": {},
"source": [
"By default, `fit` approximates full Bayesian posterior using [MCMC](https://en.wikipedia.org/wiki/Markov_chain_Monte_Carlo) sampling provided by `pymc.sample`. If the full posterior is not needed or MCMC sampling is too slow, users can obtain the single [maximum a posteriori estimate](https://en.wikipedia.org/wiki/Maximum_a_posteriori_estimation) via the `fit_method` kwarg."
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "f8f280ad",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "56171ba60bc64242a384ef95e460120f",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"Output()"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"