On Positive Inflated Geometric Distribution: Properties and Applications

Authors

  • Zehra Skinder
  • Peer Bilal Peer Islamic University of Science & Technology
  • Muneeb Ahmad Wani

DOI:

https://doi.org/10.17713/ajs.v53i4.1818

Abstract

One-inflation in zero-truncated count data has recently found considerable attention. In this regard, zero-truncated Geometric distribution and distribution to a point mass at one are used to create a one-inflated model, namely, one-inflated zero-truncated Geometric distribution. Its reliability characteristics, generating functions, and distributional properties are investigated in detail, which includes survival function, hazard rate function, reverse hazard rate function, probability generating function, characteristic function, variance, skewness, and kurtosis. Monte Carlo simulation have been undertaken to evaluate the effectiveness of the maximum likelihood estimators. To test the compatibility of our proposed model, the baseline model and the proposed model are distinguished by using the two different test procedures. The adaptability of the suggested model is demonstrated using two real-life datasets from separate domains by taking various performance measures into consideration.

Author Biographies

Zehra Skinder

Research scholar

Depatment of Mathematical sciences

IUST

 

Muneeb Ahmad Wani

Research scholar

Department of Mathematics and statistics

IIT KANPUR

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Published

2024-09-16

How to Cite

Zehra Skinder, Peer, P. B., & Muneeb Ahmad Wani. (2024). On Positive Inflated Geometric Distribution: Properties and Applications. Austrian Journal of Statistics, 53(4), 43–63. https://doi.org/10.17713/ajs.v53i4.1818