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

Hamzeh Torabi; Masumeh Forooghi; Hossein Nadeb

Research Article

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

Year 2016, Volume: 45 Issue: 5, 1605 - 1620, 01.10.2016

Hamzeh Torabi , Masumeh Forooghi Hossein Nadeb

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

EM algorithm, Generalized exponential distribution, Maximum likelihood estimate, Method of moments, Type-I interval censoring

References

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Year 2016, Volume: 45 Issue: 5, 1605 - 1620, 01.10.2016

Hamzeh Torabi , Masumeh Forooghi Hossein Nadeb

Abstract

References

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Hamzeh Torabi Masumeh Forooghi This is me Hossein Nadeb
Publication Date	October 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 5

Cite

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.
AMA	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. October 2016;45(5):1605-1620.
Chicago	Torabi, Hamzeh, Masumeh Forooghi, and 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 45, no. 5 (October 2016): 1605-20.
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	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, 2016.
ISNAD	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 45/5 (October 2016), 1605-1620.
JAMA	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, 2016, pp. 1605-20.
Vancouver	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):1605-20.