vec_gsl_hyp2f1_e

Calculate the hypergeometric 2f1 using the GSL library (gsl_sf_hyperg_2F1_e)

internal

A set of state-of-the-art probabilistic modeling approaches to derive estimates of individual customer lifetime values (CLV).
Commonly, probabilistic approaches focus on modelling 3 processes, i.e. individuals' attrition, transaction, and spending process.
Latent customer attrition models, which are also known as "buy-'til-you-die models", model the attrition as well as the transaction process.
They are used to make inferences and predictions about transactional patterns of individual customers such as their future purchase behavior.
Moreover, these models have also been used to predict individuals’ long-term engagement in activities such as playing an online game or
posting to a social media platform. The spending process is usually modelled by a separate probabilistic model. Combining these results yields in
lifetime values estimates for individual customers.
This package includes fast and accurate implementations of various probabilistic models for non-contractual settings
(e.g., grocery purchases or hotel visits). All implementations support time-invariant covariates, which can be used to control for e.g.,
socio-demographics. If such an extension has been proposed in literature, we further provide the possibility to control for time-varying
covariates to control for e.g., seasonal patterns.
Currently, the package includes the following latent attrition models to model individuals' attrition and transaction process:
[1] Pareto/NBD model (Pareto/Negative-Binomial-Distribution),
[2] the Extended Pareto/NBD model (Pareto/Negative-Binomial-Distribution with time-varying covariates),
[3] the BG/NBD model (Beta-Gamma/Negative-Binomial-Distribution) and the
[4] GGom/NBD (Gamma-Gompertz/Negative-Binomial-Distribution).
Further, we provide an implementation of the Gamma/Gamma model to model the spending process of individuals.

Patrick Bachmann

CLVTools

Tools for Customer Lifetime Value Estimation

Niels Kuebler

Markus Meierer

Jeffrey Naef

E. Shin Oblander

Patrik Schilter

vec_gsl_hyp2f1_e function

<dl><dt>vA</dt>
<dd>Vector of values for parameter a</dd>
<dt>vB</dt>
<dd>Vector of values for parameter b</dd>
<dt>vC</dt>
<dd>Vector of values for parameter c</dd>
<dt>vZ</dt>
<dd>Vector of values for parameter z</dd></dl>

Arguments

GSL Hypergeometric 2F1 for equal length vectors — vec_gsl_hyp2f1_e

<dl>

<dt>vA</dt>
<dd>Vector of values for parameter a</dd>


<dt>vB</dt>
<dd>Vector of values for parameter b</dd>


<dt>vC</dt>
<dd>Vector of values for parameter c</dd>


<dt>vZ</dt>
<dd>Vector of values for parameter z</dd>

</dl>

vec_gsl_hyp2f1_e: GSL Hypergeometric 2F1 for equal length vectors

Description

Usage

Value

Arguments