Research Article

Inference for the linear combination of two independent exponential random variables based on fuzzy data

Volume: 48 Number: 6 December 8, 2019
EN

Inference for the linear combination of two independent exponential random variables based on fuzzy data

Abstract

In this article, we have derived the distribution of a linear combination of two independent exponential random variables. The parameter estimates of the proposed distribution are obtained by using the maximum likelihood estimation method and the method of moments from fuzzy data. The findings in this paper show that estimation expertise is still valuable to any organization based on the precise and certain information. The proposed research consisted in developing an estimation technique using fuzzy logic and this is often measured in terms of linguistic values, which is very helpful and beneficial  for the certain and precise results.

Keywords

References

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  4. [4] A.H. Joarder, M.H. Omar and A.K. Gupta, The Distribution of a Linear Combination of Two Correlated Chi-Square Variables, Revista Colombiana de Estadistica 36 (2), 209-219, 2013.
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  6. [6] N.B. Khoolenjani and F. Shahsanaie, Estimating the parameter of Exponential distribution under Type-II censoring from fuzzy data, J. Stat. Theory Appl. 15 (2), 181-195, 2016.
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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 8, 2019

Submission Date

October 15, 2018

Acceptance Date

October 25, 2019

Published in Issue

Year 2019 Volume: 48 Number: 6

APA
Basharat, H., Mustafa, S., Mahmood, S., & Jun, Y. B. (2019). Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics, 48(6), 1859-1869. https://doi.org/10.15672/hujms.470452
AMA
1.Basharat H, Mustafa S, Mahmood S, Jun YB. Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics. 2019;48(6):1859-1869. doi:10.15672/hujms.470452
Chicago
Basharat, Hina, Saima Mustafa, Shahid Mahmood, and Young Bae Jun. 2019. “Inference for the Linear Combination of Two Independent Exponential Random Variables Based on Fuzzy Data”. Hacettepe Journal of Mathematics and Statistics 48 (6): 1859-69. https://doi.org/10.15672/hujms.470452.
EndNote
Basharat H, Mustafa S, Mahmood S, Jun YB (December 1, 2019) Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics 48 6 1859–1869.
IEEE
[1]H. Basharat, S. Mustafa, S. Mahmood, and Y. B. Jun, “Inference for the linear combination of two independent exponential random variables based on fuzzy data”, Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 6, pp. 1859–1869, Dec. 2019, doi: 10.15672/hujms.470452.
ISNAD
Basharat, Hina - Mustafa, Saima - Mahmood, Shahid - Jun, Young Bae. “Inference for the Linear Combination of Two Independent Exponential Random Variables Based on Fuzzy Data”. Hacettepe Journal of Mathematics and Statistics 48/6 (December 1, 2019): 1859-1869. https://doi.org/10.15672/hujms.470452.
JAMA
1.Basharat H, Mustafa S, Mahmood S, Jun YB. Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics. 2019;48:1859–1869.
MLA
Basharat, Hina, et al. “Inference for the Linear Combination of Two Independent Exponential Random Variables Based on Fuzzy Data”. Hacettepe Journal of Mathematics and Statistics, vol. 48, no. 6, Dec. 2019, pp. 1859-6, doi:10.15672/hujms.470452.
Vancouver
1.Hina Basharat, Saima Mustafa, Shahid Mahmood, Young Bae Jun. Inference for the linear combination of two independent exponential random variables based on fuzzy data. Hacettepe Journal of Mathematics and Statistics. 2019 Dec. 1;48(6):1859-6. doi:10.15672/hujms.470452

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