Processing k-Inflated Poisson-Binomial Distributed Longitudinal Data in Consumer Behavior

Nastaran Sharifian, Kevin Burke

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The first step in process mining of a business is to collect data on the process that is being analyzed. Sometimes the response variable in a longitudinal study of customers is a count variable. It may seem that the effect of some covariates related to the consumer can be modeled on the desired success probability via a binomial regression. However, the count variable may have inflation at the value k, and may also arise as the sum of consecutive Bernoulli variables with different success probabilities. In this paper, we will account for these features using a longitudinal (mixed effects) k-inflated Poisson-Binomial model. We demonstrate the utility of the introduced model by fitting it to a simulated data set related to the customers of a supermarket.

Original languageEnglish
Title of host publicationProceedings - 2023 IEEE SmartWorld, Ubiquitous Intelligence and Computing, Autonomous and Trusted Vehicles, Scalable Computing and Communications, Digital Twin, Privacy Computing and Data Security, Metaverse, SmartWorld/UIC/ATC/ScalCom/DigitalTwin/PCDS/Metaverse 2023
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9798350319804
DOIs
Publication statusPublished - 2023
Event9th IEEE Smart World Congress, SWC 2023 - Portsmouth, United Kingdom
Duration: 28 Aug 202331 Aug 2023

Publication series

NameProceedings - 2023 IEEE SmartWorld, Ubiquitous Intelligence and Computing, Autonomous and Trusted Vehicles, Scalable Computing and Communications, Digital Twin, Privacy Computing and Data Security, Metaverse, SmartWorld/UIC/ATC/ScalCom/DigitalTwin/PCDS/Metaverse 2023

Conference

Conference9th IEEE Smart World Congress, SWC 2023
Country/TerritoryUnited Kingdom
CityPortsmouth
Period28/08/2331/08/23

Keywords

  • Consumer behavior
  • Count response
  • EM algorithm
  • k-Inflated
  • Longitudinal
  • Poisson-Binomial distribution
  • Process mining
  • Random effect

Fingerprint

Dive into the research topics of 'Processing k-Inflated Poisson-Binomial Distributed Longitudinal Data in Consumer Behavior'. Together they form a unique fingerprint.

Cite this