One-inflated zero-truncated Binomial distribution: Distributional Properties, Estimation and Applications

Authors

  • Kalpasree Sharma Department of Statistics, Dibrugarh University, Dibrugarh 786004, Assam,India
  • Partha Jyoti Hazarika Department of Statistics, Dibrugarh University, Dibrugarh 786004, Assam,India
  • Morad Alizadeh Department of Statistics, Faculty of Intelligent Systems Engineering and Data Science, Persian Gulf University, Bushehr, Iran

DOI:

https://doi.org/10.19139/soic-2310-5070-2888

Keywords:

Count data, one-inflation, zero-truncation, Overdispersion, Binomial distribution, Estimation methods, Simulation

Abstract

The analysis of zero-truncated count data plays a vital role in various fields, suchas public health, ecology, manufacturing and social sciences.This work introduces aone-inflated extension of the zero-truncated binomial distribution, framed as a two component model. Some of the key statistical properties of the distribution, includingmoments, generating functions, skewness, kurtosis and index of dispersion are derived.Also characterization of the proposed distribution based on conditional distributionis presented. Different estimation strategies are discussed and a simulation study isconducted to assess the performance of the maximum likelihood estimators. Finally totest the compatibility of our model we test two real-life datasets.

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Published

2026-07-24

How to Cite

Sharma, K., Jyoti Hazarika, P., & Alizadeh, M. (2026). One-inflated zero-truncated Binomial distribution: Distributional Properties, Estimation and Applications. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-2888

Issue

Online First

Section

Research Articles

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Copyright (c) 2026 Kalpasree Sharma, Partha Jyoti Hazarika, Morad Alizadeh

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