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A New Extension of Power Quasi Lindley Distribution with Properties and Applications of the Life Time data

Rashid A. Ganaie, V. Rajagopalan


This manuscript approaches with the new model of power quasi Lindley distribution by using the version of length biased technique known as length biased power quasi Lindley distribution. We have investigated and executed its various mathematical and statistical properties such as reliability measures, order statistics, likelihood ratio test, entropies, income distribution curves and harmonic mean. We have also obtained and discussed its parameter estimation by using the method of maximum likelihood estimator and also executed its Fisher’s information matrix. Finally, the application of newly introduced model is demonstrated by applying the two real data sets using the new distribution, which shows that the length biased power quasi Lindley distribution fits quite satisfactory in analyzing real life time data sets.

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A. Ahmad; S. P. Ahmad; A. Ahmed; Length-Biased weighted Lomax distribution: Statistical properties and applications, Pak.j.Stat.Oper.res, 12(2) 245-255 (2016).

A. A. Rather; C. Subramanian; Characterization and estimation of length biased weighted generalized uniform distribution, international journal of scientific research in mathematical and statistical science, 5(5) 72-76 (2018).

A. A. Rather; C. Subramanian; The Length biased erlang truncated exponential with life time data, Journal of information and Computational Science, 9(8) 340-355 (2019).

C. R. Rao; On discrete distributions arising out of method of ascertainment, in classical and Contagious Discrete, G.P. Patiled; Pergamum Press and Statistical publishing Society,Calcutta. 320-332 (1965).

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

G. P. Patil; C. R. Rao; Weighted distributions and size-biased sampling with applications to wildlife populations and human families, Biometrics, 179–189 (1978).

M. H. Reyad; M. A. Hashish; A. S. Othman; A. S. Allam; The length-biased weighted frechet distribution: properties and estimation, international journal of statistics and applied mathematics, 3(1) 189-200 (2017).

M. Zelen; Problems in cell kinetic and the early detection of disease, in Reliability and Biometry, F. Proschan & R. J. Sering, eds, SIAM, Philadelphia, 701-706 (1974).

M. E Ghitany; B. Atieh; S. Nadarajah; Lindley distribution and its Application, Mathematics Computing and Simulation, 78(4) 493- 506 (2008).

Piegorsch; W. Walter; Encyclopedia of environmetrics, Chichester: John. (2002).

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

R. A. Ganaie; V. Rajagopalan; A new extension of quasi exponential distribution with properties and life-time data, Aegaeum journal, 8(4) 1096-1109 (2020).

R. A. Ganaie; V. Rajagopalan; Length biased weighted quasi gamma distribution with Characterizations and Applications, International Journal of innovative technology and Exploring Engineering, 9(5) 1110- 1117 (2020).

R. Shanker; A. H. Ghebretsadik; A New Quasi Lindley distribution, International Journal of Statistics and Systems, 8(2) 143-156 (2013).

R. Shanker; A. Mishra; A Quasi Lindley distribution, African Journal of Mathematics and Computer Science Research, 6(4) 64-71 (2013).

R core team; R version 3.5.3: A language and environment for statistical computing. R Foundation for statistical computing, Vienna, Austria.URL https:// www.R-project .org/ (2019).

S. H. Alkarni; Power quasi lindley distribution: Properties and Application, Asian Journal of mathematics and Computer Research, 10(2) 179-195 (2015).

S. Mudasir; S. P. Ahmad; Characterization and estimation of length biased nakagami distribution, Pakistan Journal of Statistics and Operation Research, 14(3) 697-715 (2018).

V. Rajagopalan; R. A. Ganaie; Characterization & estimation of Length Biased Shukla Distribution with Applications of Real life-time data, Strad Research, 7(10) 490-507 (2020).


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