A Symmetrical Analysis of Decision Making: Introducing the Gaussian Negative Binomial Mixture with a Latent Class Choice Model

Author:

Sajjad Irsa1,Nafisah Ibrahim Ali2,Almazah Mohammed M. A.3,Alamri Osama Abdulaziz4ORCID,Dar Javid Gani5ORCID

Affiliation:

1. School of Mathematics and Statistics, Central South University, Changsha 410083, China

2. Department of Statistics and Operations Research, College of Sciences, King Saud University, P.O. Box 2454, Riyadh 11451, Saudi Arabia

3. Department of Mathematics, College of Sciences and Arts (Muhyil), King Khalid University, Muhyil 61421, Saudi Arabia

4. Statistics Department, Faculty of Science, University of Tabuk, Tabuk 47512, Saudi Arabia

5. Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune 412115, India

Abstract

This research presents a model called the ‘Gaussian negative binomial mixture with a latent class choice model’, which serves as a robust and efficient tool for analyzing decisions across different areas. Our innovative model combines elements of mixture models, negative binomial distributions, and latent class choice modeling to create an approach that captures the complexities of decision-making processes. We explain how the model is formulated and estimated, showcasing its effectiveness in analyzing and predicting choices in scenarios. Through the use of a dataset, we demonstrate the performance of this method, marking a significant advancement in choice modeling. Our results highlight the applications of this model and point towards promising directions for future research, especially in exploring symmetrical patterns and structures, within decision-making processes.

Funder

Deanship of Research and Graduate Studies at King Khalid University through a Large Research Project

Publisher

MDPI AG

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