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Activity Number: 435 - Contributed Poster Presentations: Section on Statistics in Marketing
Type: Contributed
Date/Time: Wednesday, August 10, 2022 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics in Marketing
Abstract #322648
Title: Multinomial Logit Parameter Estimation in the Presence of Product Missingness
Author(s): Thilini Saram* and David Hunter and Aydin Alptekinoglu
Companies: Pennsylvania State University and Pennsylvania State University and Pennsylvania State University
Keywords: EM algorithm; Discrete Choice Models; Baum-Welch algorithm; Hidden Markov Model
Abstract:

Discrete choice models predict the choices among two or more discrete alternatives. Missingness of product availability is a challenge to choice models. We provide evidence that failing to account for product availability leads to bias in demand estimates and use an illustrative example to demonstrate this. We study a weekly grocery purchase dataset that does not contain availability of products. We propose a new model that introduces product availability as a missing variable. We use a Baum-Welch algorithm as the expectation step of an expectation-maximization (EM) algorithm to estimate parameters in a hidden Markov model (HMM). We use a simulation study to compare the models’ prediction accuracy and fit the new model to the illustrative example.


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