Scopus
YÖKSİS Eşleşti
A New Flexible Discrete Distribution with Application to Zero-Inflated Regression Analysis
Iranian Journal of Science and Technology, Transaction A: Science · Ağustos 2022
YÖKSİS Kayıtları
A New Flexible Discrete Distribution with Application to Zero-Inflated Regression Analysis
Iranian Journal of Science and Technology, Transactions A: Science · 2022 SCI-Expanded
DOÇENT YUNUS AKDOĞAN →
Makale Bilgileri
DergiIranian Journal of Science and Technology, Transaction A: Science
Yayın TarihiAğustos 2022
Cilt / Sayfa46 · 1219-1234
Scopus ID2-s2.0-85133622382
Özet
In this paper, alpha power transformation for continuous distributions is adapted to discrete distributions. The new family for discrete distributions called discrete alpha power transformation is proposed. The discrete alpha power transformation-exponential distribution is studied in detail. Several distributional properties of introduced distribution including moments, survival and hazard rate functions, mode, and quantile function are discussed. The statistical inference on the model parameters is studied by maximum likelihood, moments, and least-squares estimation methods. A simulation study is performed to observe the performance of bias and mean square errors of these estimates. Three bootstrap methods are considered for constructing confidence intervals for the distribution parameters. As an application of the discrete alpha power transformation-exponential distribution, a new zero-inflated count regression model is proposed to be an alternative model for zero-inflated Poisson, zero-inflated geometric, and zero-inflated negative binomial regression models. Two examples with real data are provided to illustrate the applicability of introduced distribution and count regression analysis.
Yazarlar (1)
1
Yunus Akdoğan
Anahtar Kelimeler
Bootstrap confidence intervals
Count regression
Discrete distributions
Ratio test method
Zero-inflated model
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey