Research Article

Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring

Volume: 45 Number: 5 October 1, 2016
EN

Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring

Abstract

In this paper, we estimate the parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring based on maximum likelihood, moment method and probability plot. A simulation study is conducted to compare these estimates in terms of mean squared errors and biases. Finally, these estimate methods are applied to a real data set based on patients with breast cancer in order to demonstrate the applicabilities.

Keywords

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Publication Date

October 1, 2016

Submission Date

December 6, 2014

Acceptance Date

July 28, 2015

Published in Issue

Year 2016 Volume: 45 Number: 5

APA
Torabi, H., Forooghi, M., & Nadeb, H. (2016). Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring. Hacettepe Journal of Mathematics and Statistics, 45(5), 1605-1620. https://izlik.org/JA89CF43DR
AMA
1.Torabi H, Forooghi M, Nadeb H. Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring. Hacettepe Journal of Mathematics and Statistics. 2016;45(5):1605-1620. https://izlik.org/JA89CF43DR
Chicago
Torabi, Hamzeh, Masumeh Forooghi, and Hossein Nadeb. 2016. “Comparing of Some Estimation Methods for Parameters of the Marshall-Olkin Generalized Exponential Distribution under Progressive Type-I Interval Censoring”. Hacettepe Journal of Mathematics and Statistics 45 (5): 1605-20. https://izlik.org/JA89CF43DR.
EndNote
Torabi H, Forooghi M, Nadeb H (October 1, 2016) Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring. Hacettepe Journal of Mathematics and Statistics 45 5 1605–1620.
IEEE
[1]H. Torabi, M. Forooghi, and H. Nadeb, “Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, pp. 1605–1620, Oct. 2016, [Online]. Available: https://izlik.org/JA89CF43DR
ISNAD
Torabi, Hamzeh - Forooghi, Masumeh - Nadeb, Hossein. “Comparing of Some Estimation Methods for Parameters of the Marshall-Olkin Generalized Exponential Distribution under Progressive Type-I Interval Censoring”. Hacettepe Journal of Mathematics and Statistics 45/5 (October 1, 2016): 1605-1620. https://izlik.org/JA89CF43DR.
JAMA
1.Torabi H, Forooghi M, Nadeb H. Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring. Hacettepe Journal of Mathematics and Statistics. 2016;45:1605–1620.
MLA
Torabi, Hamzeh, et al. “Comparing of Some Estimation Methods for Parameters of the Marshall-Olkin Generalized Exponential Distribution under Progressive Type-I Interval Censoring”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 5, Oct. 2016, pp. 1605-20, https://izlik.org/JA89CF43DR.
Vancouver
1.Hamzeh Torabi, Masumeh Forooghi, Hossein Nadeb. Comparing of some estimation methods for parameters of the Marshall-Olkin generalized exponential distribution under progressive Type-I interval censoring. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Oct. 1;45(5):1605-20. Available from: https://izlik.org/JA89CF43DR