POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

Publications

Share / Export Citation / Email / Print / Text size:

Statistics in Transition New Series

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

GET ALERTS

ISSN: 1234-7655
eISSN: 2450-0291

DESCRIPTION

13
Reader(s)
24
Visit(s)
0
Comment(s)
0
Share(s)

SEARCH WITHIN CONTENT

FIND ARTICLE

Volume / Issue / page

Related articles

VOLUME 19 , ISSUE 1 (March 2018) > List of articles

POWER ISHITA DISTRIBUTION AND ITS APPLICATION TO MODEL LIFETIME DATA

Kamlesh Kumar Shukla / Rama Shanker

Keywords : Ishita distribution, moments, hazard rate function, stochastic ordering, maximum likelihood estimation, goodness of fit.

Citation Information : Statistics in Transition New Series. Volume 19, Issue 1, Pages 135-148, DOI: https://doi.org/10.21307/stattrans-2018-008

License : (CC BY-NC-ND 4.0)

Published Online: 27-May-2018

ARTICLE

ABSTRACT

A study on two-parameter power Ishita distribution (PID), of which Ishita distribution introduced by Shanker and Shukla (2017 a) is a special case, has been carried out and its important statistical properties including shapes of the density, moments, skewness and kurtosis measures, hazard rate function, and stochastic ordering have been discussed. The maximum likelihood estimation has been discussed for estimating its parameters. An application of the distribution has been explained with a real lifetime data from engineering, and its goodness of fit shows better fit over two-parameter power Akash distribution (PAD), twoparameter power Lindley distribution (PLD) and one-parameter Ishita, Akash, Lindley and exponential distributions.

Content not available PDF Share

FIGURES & TABLES

REFERENCES

BADER, M. G., PRIEST, A. M., (1982). Statistical aspects of fiber and bundle strength in hybrid composites, In: Hayashi, T., Kawata, K., Umekawa, S., (Eds.), Progress in Science in engineering Composites, ICCM-IV, Tokyo, pp. 1129–1136.

 

GHITANY, M. E., ATIEH, B., NADARAJAH, S., (2008). Lindley distribution and its Application, Mathematics Computing and Simulation, 78, pp. 493–506.

 

GHITANY, M. E ., Al-MMUTAIRI, D. K., BALAKRISHANAN, N., Al-ENEZI, L. J., (2013). Power Lindley distribution and Associated Inference, Computational Statistics and Data Analysis, 64, pp. 20–33.

 

LINDLEY, D. V., (1958). Fiducial distributions and Bayes’ Theorem, Journal of the Royal Statistical Society, Series B, 20, pp.102–107.

 

SHAKED, M., SHANTHIKUMAR, J. G., (1994). Stochastic Orders and Their Applications, Academic Press, New York.

 

SHANKER, R., (2015). Akash Distribution and Its Applications, International Journal of Probability and Statistics, 4 (3), pp. 65–75.

 

SHANKER, R., HAGOS, F., SUJATHA, S., (2016). On Modeling of Lifetime Data using One-Parameter Akash, Lindley and Exponential Distributions, Biometrics & Biostatistics International Journal, 3 (2), pp. 1–10.

 

SHANKER, R., (2017). The Discrete Poisson-Akash Distribution, International Journal of Probability and Statistics, 6 (1), pp. 1–10

 

SHANKER, R., SHUKLA, K. K., (2017a). Ishita Distribution and its Applications, Biometrics & Biostatistics International Journal, 5 (2), pp. 1–9.

 

SHANKER, R., SHUKLA, K. K., (2017b). Power Akash distribution and its Application, to appear in Journal of Applied Quantitative Methods.

 

SHUKLA, K. K., SHANKER, R., (2017). The Discrete Poisson-Ishita Distribution, Communicated.

 

STACY, E. W., (1962). A generalization of the gamma distribution, Annals of Mathematical Statistics, 33, pp. 1187–1192.

 

EXTRA FILES

COMMENTS