A Three-Parameter Weighted Lindley Distribution and Its Applications to Model Survival Time

• Autorzy: Rama Shanker , Kamlesh Kumar Shukla , Amarendra Mishra
• Języki publikacji: EN

Abstrakty

EN

In this paper a three-parameter weighted Lindley distribution, including Lindley distribution introduced by Lindley (1958), a two-parameter gamma distribution, a two-parameter weighted Lindley distribution introduced by Ghitany et al. (2011) and exponential distribution as special cases, has been suggested for modelling lifetime data from engineering and biomedical sciences. The structural properties of the distribution including moments, coefficient of variation, skewness, kurtosis and index of dispersion have been derived and discussed. The reliability properties, including hazard rate function and mean residual life function, have been discussed. The estimation of its parameters has been discussed using the maximum likelihood method and the applications of the distribution have been explained through some survival time data of a group of patients suffering from head and neck cancer, and the fit has been compared with a one-parameter Lindley distribution and a two-parameter weighted Lindley distribution. (original abstract)

Słowa kluczowe

EN

Survival analysis; Maximum likelihood estimation

PL

Analiza przeżycia; Metoda największej wiarygodności

• Czasopismo: Statistics in Transition
• Rocznik: 2017
• Tom: 18
• Numer: nr 2
• Strony: 291--310

Twórcy

autor

Rama Shanker

• Eritrea Institute of Technology, Eritrea

autor

Kamlesh Kumar Shukla

• Eritrea Institute of Technology, Eritrea

autor

Amarendra Mishra

• Patna University, India

Bibliografia

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• GHITANY, M. E., ALQALLAF, F., AL-MUTAIRI, D. K., HUSAIN, H. A., (2011). A two-parameter weighted Lindley distribution and its applications to survival data, Mathematics and Computers in simulation, 81, pp. 1190-1201.
• LINDLEY, D. V., (1958). Fiducial distributions and Bayes' theorem, Journal of the Royal Statistical Society, Series B, 20, pp. 102-107.
• SANKARAN, M., (1970). The discrete Poisson-Lindley distribution, Biometrics, 26(1), pp. 145-149.
• SHAKED, M., SHANTHIKUMAR, J. G., (1994). Stochastic Orders and Their Applications, Academic Press, New York.
• SHANKER, R., MISHRA, A., (2013 a). A Two Parameter Lindley Distribution, Statistics in Transition new series, 14 (1), pp. 45-56.
• SHANKER, R, MISHRA, A., (2013 b). A Quasi Lindley Distribution, African Journal of Mathematics and Computer Science Research (AJMCSR), 6 (4), pp. 64 - 71.
• SHANKER, R., SHARMA, S., SHANKER, R., (2013). A Two Parameter Lindley Distribution for Modeling Waiting and Survival Times Data, Applied Mathematics, 4 (2), pp. 363-368.
• SHANKER, R., AMANUEL, A. G., (2013). A New Quasi Lindley Distribution, International Journal of Statistics and System, 8 (2), pp. 143- 156.
• SHANKER, R., HAGOS, F., SUJATHA, S., (2015). On modeling of Lifetimes data using exponential and Lindley distributions, Biometrics & Biostatistics International Journal, 2 (5), pp. 1-9.
• SHANKER, R., SHUKLA, K. K., HAGOS, F., (2016). On weighted Lindley distribution and Its applications to model Lifetime data, Jacobs Journal of Biostatistics, 1 (1), pp. 1-9.