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The New Length Biased Hamza Distribution: Statistical Properties & Applications

N. W. Andure (Yawale), R. B. Ade


In this paper, a two parameters length biased Hamza distribution is proposed. The various structural properties of the new distribution are studied. The maximum likelihood method has been used to estimate the parameters of the proposed distribution. The performances of the proposed distribution has been compared with Hamza, Quasi Lindley and Exponential distribution using real life data sets.


Length Biased Distribution, Hamza Distribution; Moments; Moment Generating Function; Entropies; Reliability Analysis; Order Statistic; Maximum Likelihood Estimation; Likelihood Ratio Test.

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A. Aijaz;M.Jallal; S. Q. U. Ain; R.Tripathi; The Hamza distribution with Statistical Properties and Applications. Asian Journal of Probability and Statistics, 8(1), 28-42(2020).

A.A.Rather ;A new Length Biased Distribution with Applications in Engineering and Medical Science. International Journal of Scientific Research in Mathematical and Statistical Sciences. 5. 66-76 (2018).

A.Ahmad;S.P.Ahmad; A.Ahmed;Length-Biased Weighted Lomax Distribution: Statistical Properties and Application. Pakistan Journal of Statistics and Operation Research. (12) 245 (2016).

A.J.Gross;V.A.Clark;“Survival Distributions: Reliability Applications in the Biometrical Sciences”, John Wiley, New York, USA. (1975).

Aafaq A. Rather;C.Subramanian;Weighted exponentiated mukherjee-islam distribution. 8. 1328-1339(2018).

C.R. Rao; On Discrete Distributions Arising out of Methods of Ascertainment. Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), 27(2/4), 311-324 (1965).

C.Tsallis;Possible generalization of boltzmann-gibbs statistics. Journal of Statistical Physics,52,479-487(1988).

CE.Bonferroni;Elementi di Statiscagnerarale, Seeber, Firenze.(1930).

D.R.Cox; Some sampling problems in technology. In New Developments in Survey Sampling (N. L. Johnson and H. Smith, Jr., eds.). Wiley, New York, 506-527 (1969).

K.Xu; M.Xie; L.C.Tang; S.L.Ho; Application of neural networks in forecasting engine systems reliability, Applied Soft Computing, 2(4),255-268 (2003).

Lawless, J. F, (2003).“Statistical models and methods for lifetime data”, Wiley, New York.

M. Zelen;Problems in Cell Kinetics and Early Detection of Disease. Reliability and Biometry, SIAM, Philadelphia, 701-726 (1974).

R. A.Fisher; The effects of methods of ascertainment upon the estimation of frequencies. Annals of Eugenics, 6, 13-25 (1934).

R.Al-Aqtash;C.Lee;F.Famoye; Gumbel-weibull distribution: Properties and applications. Journal ofModern Applied Statistical Methods. 13:201-225(2014).


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