A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets

Omid Kharazmi; Ali Saadatinik; Mostafa Tamandi

doi:10.36753/mathenot.559265

EN

A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets

Abstract

Kharazmi and Saadatinik [21] introduced a new family of distribution called hyperbolic cosine – F (HCF)

distributions. They studied some properties of this model and obtained the estimates of its parameters by

different methods. In this paper, it is focused on a special case of HCF family withWeibull distribution

as a baseline model. Various properties of the proposed distribution including explicit expressions

for the moments, quantiles, moment generating function, failure rate function, mean residual lifetime,

order statistics and expression of the entropies are derived. Superiority of this model is proved in some

simulations and applications.

Keywords

Hyperbolic cosine function,Weibull distribution,Hazard function,Mean residual life time,Maximum likelihood estimates

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Omid Kharazmi

Ali Saadatinik This is me

Mostafa Tamandi This is me

Publication Date

April 30, 2019

Submission Date

July 11, 2018

Acceptance Date

-

Published in Issue

Year 2019 Volume: 7 Number: 1

DOI

https://doi.org/10.36753/mathenot.559265

IZ

https://izlik.org/JA88HF79NT

APA

Kharazmi, O., Saadatinik, A., & Tamandi, M. (2019). A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets. Mathematical Sciences and Applications E-Notes, 7(1), 102-112. https://doi.org/10.36753/mathenot.559265

AMA

1.Kharazmi O, Saadatinik A, Tamandi M. A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets. Math. Sci. Appl. E-Notes. 2019;7(1):102-112. doi:10.36753/mathenot.559265

Chicago

Kharazmi, Omid, Ali Saadatinik, and Mostafa Tamandi. 2019. “A New Continuous Lifetime Distribution and Its Application to the Indemnity and AircraftWindshield Datasets”. Mathematical Sciences and Applications E-Notes 7 (1): 102-12. https://doi.org/10.36753/mathenot.559265.

EndNote

Kharazmi O, Saadatinik A, Tamandi M (April 1, 2019) A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets. Mathematical Sciences and Applications E-Notes 7 1 102–112.

IEEE

[1]O. Kharazmi, A. Saadatinik, and M. Tamandi, “A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets”, Math. Sci. Appl. E-Notes, vol. 7, no. 1, pp. 102–112, Apr. 2019, doi: 10.36753/mathenot.559265.

ISNAD

Kharazmi, Omid - Saadatinik, Ali - Tamandi, Mostafa. “A New Continuous Lifetime Distribution and Its Application to the Indemnity and AircraftWindshield Datasets”. Mathematical Sciences and Applications E-Notes 7/1 (April 1, 2019): 102-112. https://doi.org/10.36753/mathenot.559265.

JAMA

1.Kharazmi O, Saadatinik A, Tamandi M. A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets. Math. Sci. Appl. E-Notes. 2019;7:102–112.

MLA

Kharazmi, Omid, et al. “A New Continuous Lifetime Distribution and Its Application to the Indemnity and AircraftWindshield Datasets”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 1, Apr. 2019, pp. 102-1, doi:10.36753/mathenot.559265.

Vancouver

1.Omid Kharazmi, Ali Saadatinik, Mostafa Tamandi. A New Continuous Lifetime Distribution and its Application to the Indemnity and AircraftWindshield Datasets. Math. Sci. Appl. E-Notes. 2019 Apr. 1;7(1):102-1. doi:10.36753/mathenot.559265

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