Abstract
In fund raising management, modeling the gift probability is a key point. The availability of an accurate estimate of the gift probability is relevant in order to evaluate the results of a fund raising campaign. In this contribution, we discuss a statistical methodology for modeling and estimating such quantity. To this aim, a parametric approach is suggested. In particular, we model the number of gifts as a Poisson random variable with intensity parameter which depends on individual characteristics of the Donors. The expected number of donations, and the probability of gift, can then be estimated by performing a Poisson regression.
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- 1.
Formally, denoting with D the gift/donation event, we have \(Y = \mathbf {1}_D(\omega )\), where \(\mathbf {1}_D\) is the indicator function of D, with \(\mathbb {P}[Y=1]=p\).
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Barzanti, L., Nardon, M. (2022). Estimation of the Gift Probability in Fund Raising Management. In: Corazza, M., Perna, C., Pizzi, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. MAF 2022. Springer, Cham. https://doi.org/10.1007/978-3-030-99638-3_12
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