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A New Inverse Rayleigh Distribution: Properties and Application

A.S. Malik1 , S.P. Ahmad2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.92-96, Oct-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.9296


Online published on Oct 31, 2018


Copyright © A.S. Malik, S.P. Ahmad . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: A.S. Malik, S.P. Ahmad, “A New Inverse Rayleigh Distribution: Properties and Application,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.5, pp.92-96, 2018.

MLA Style Citation: A.S. Malik, S.P. Ahmad "A New Inverse Rayleigh Distribution: Properties and Application." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.5 (2018): 92-96.

APA Style Citation: A.S. Malik, S.P. Ahmad, (2018). A New Inverse Rayleigh Distribution: Properties and Application. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 92-96.

BibTex Style Citation:
@article{Malik_2018,
author = {A.S. Malik, S.P. Ahmad},
title = {A New Inverse Rayleigh Distribution: Properties and Application},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2018},
volume = {5},
Issue = {5},
month = {10},
year = {2018},
issn = {2347-2693},
pages = {92-96},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=873},
doi = {https://doi.org/10.26438/ijcse/v5i5.9296}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i5.9296}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=873
TI - A New Inverse Rayleigh Distribution: Properties and Application
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - A.S. Malik, S.P. Ahmad
PY - 2018
DA - 2018/10/31
PB - IJCSE, Indore, INDIA
SP - 92-96
IS - 5
VL - 5
SN - 2347-2693
ER -

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Abstract :
In this paper, a new generalization of inverse Rayleigh Distribution known as Alpha Power inverse Rayleigh distribution is proposed using Alpha Power Transformation. Some mathematical properties of the Alpha Power inverse Rayleigh distribution have been derived and the parameters are estimated using Maximum Likelihood estimation method. Two real life data sets have been incorporated to illustrate the applicability of the proposed distribution.

Key-Words / Index Term :
Alpha power inverse Rayleigh Distribution, Alpha Power Transformation, Entropy, Reliability, MLE

References :
[1] N. Trayer. Doklady Acad, Nauk, Belorus, U.S.S.R, 1964.
[2] R. Gh. Voda, (1972), “On the inverse Rayleigh variable”, Rep. Stat. Apph. Res. Juse, Vol. 19, Issue., 4, pp.15-21, 1972.
[3] A. Mahadavi, D. Kundu, “A new method of generating distribution with an application to exponential distribution”, Communications in Statistics-Theory and Methods, Vol. 46, Issue., 13, 2015.
[4] M. Nassar, A. Alzaatreh, M. Mead &O. Abo-Kasem, “Alpha Power Weibull distribution: Properties and application”, Communications in Statistics-Theory and Methods, Vol. 46, Issue., 20, 2017.
[5] A. S. Malik, S.P. Ahmad, “Alpha Power Rayleigh Distribution and Its Application to Life Time Data”, International Journal of Enhanced Research in Management & Computer Applications, Vol. 6, Issue., 11, pp. 212-219, 2017.
[6] R. L. Smith, J. C. Naylor, “A comparison of maximum likelihood and Bayesian estimators for the three-parameter Weibull distribution”, Appl Stat ,Vol. 36,pp. 358–369, 1987.
[7] A. J. Gross, V.A. Clark, “Survival distributions: Reliability applications in the biomedical sciences”, Wiley-Interscience, New York, 1975.
[8] C. D. Devi, S. Thaddeus, “Information Retrieval Mechanism for Dynamic Health Care”, International Journal of Computer Sciences and Engineering, Vol. 6 (9), pp. 105-107, 2018.

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