BazEkon - The Main Library of the Cracow University of Economics

BazEkon home page

Main menu

Author
Shukla Kamlesh Kumar (Eritrea Institute of Technology, Eritrea), Shanker Rama (Eritrea Institute of Technology, Eritrea)
Title
Power Ishita Distribution and Its Application to Model Lifetime Data
Source
Statistics in Transition, 2018, vol. 19, nr 1, s. 135-148, rys., tab., bibliogr. s. 148
Keyword
Metoda największej wiarygodności, Metoda momentów
Maximum likelihood estimation, Moment method
Note
summ.
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), two-parameter power Lindley distribution (PLD) and one-parameter Ishita, Akash, Lindley and exponential distributions. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
Full text
Show
Bibliography
Show
  1. 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.
  2. GHITANY, M. E., ATIEH, B., NADARAJAH, S., (2008). Lindley distribution and its Application, Mathematics Computing and Simulation, 78, pp. 493-506.
  3. 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.
  4. LINDLEY, D. V., (1958). Fiducial distributions and Bayes' Theorem, Journal of the Royal Statistical Society, Series B, 20, pp.102-107.
  5. SHAKED, M., SHANTHIKUMAR, J. G., (1994). Stochastic Orders and Their Applications, Academic Press, New York.
  6. SHANKER, R., (2015). Akash Distribution and Its Applications, International Journal of Probability and Statistics, 4 (3), pp. 65-75.
  7. 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.
  8. SHANKER, R., (2017). The Discrete Poisson-Akash Distribution, International Journal of Probability and Statistics, 6 (1), pp. 1-10
  9. SHANKER, R., SHUKLA, K. K., (2017a). Ishita Distribution and its Applications, Biometrics & Biostatistics International Journal, 5 (2), pp. 1- 9.
  10. SHANKER, R., SHUKLA, K. K., (2017b). Power Akash distribution and its Application, to appear in Journal of Applied Quantitative Methods.
  11. SHUKLA, K. K., SHANKER, R., (2017). The Discrete Poisson-Ishita Distribution, Communicated.
  12. STACY, E. W., (1962). A generalization of the gamma distribution, Annals of Mathematical Statistics, 33, pp. 1187-1192.
Cited by
Show
ISSN
1234-7655
Language
eng
URI / DOI
http://dx.doi.org/10.21307/stattrans-2018-008
Share on Facebook Share on Twitter Share on Google+ Share on Pinterest Share on LinkedIn Wyślij znajomemu