Inverse Analogue of Ailamujia Distribution with Statistical Properties and Applications
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Published
Aug 27, 2020
Page:
36-46
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Ahmad Aijaz
Department of Mathematics, Bhagwant University, Ajmer, India.
Afaq Ahmad
Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Kashmir, India.
Rajnee Tripathi
Department of Mathematics, Bhagwant University, Ajmer, India.
Abstract
The present paper deals with the inverse analogue of Ailamujia distribution (IAD). Several statistical properties of the newly developed distribution has been discussed such as moments, moment generating function, survival measures, order statistics, shanon entropy, mode and median .The behavior of probability density function (p.d.f) and cumulative distribution function (c.d.f) are illustrated through graphs. The parameter of the newly developed distribution has been estimated by the well known method of maximum likelihood estimation. The importance of the established distribution has been shown through two real life data.
Keywords:
Ailamujia distribution, inverse approach, moments, survival analysis, maximum likelihood estimation
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Original Research Article
References
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Gross AJ, Clark VA. Survival distributions: reliability applications in the biometrical sciences. John Wiley, New York; 1975.
Fuller EJ, Frieman S, Quinn J, Quinn G, Carter W. Fracture mechanics approach to the design of glass aircraft windows: a case study, SPIE Proc. 1994;2286:419-430.
Pan GT, Wang BH, Chen, CL, Huang YB, Dang MT. The research of interval estimation and hypothetical test of small sample of distribution. Application of statistics and management. 2009;28(3):468-472.
Long B. Bayesian estimation of parameter on, Эрланга distribution under different prior. Mathematics in Practice and Theory. 2015;(4):186-192.
Yu CM, Chi YH, Zhao ZW, Song JF. Maintance-decision-oriented modeling and emulating of battlefield injury in campaign macrocosm. Journal of System Simulation. 2015;20(20):5669-5671.
Uzma j, Kawsar F, Ahmad SP. On weighted Ailamujia distribution and its applications to life time data. Journal of Statistics Applications and Probability an International Journal. 2017;6(3):619-633.
Aijaz A, Ahmad A, Tripathi R. Weighted analogue of inverse maxwell distribution with applications. International Journal of Statistics and Mathematics. 2020;7(1):146-153.
Rather AA, Subramanian C, Shafi S, Malik kA, Ahmad PJ, Para BA, Jan TR. A new size biased distribution with Applications in Engineering and Medical Science, IJSRMSS. 2018;5(4):75-85.
Jayakumar B, Elangovan R. A new generalisation of Ailamujia distribution with applications in bladder cancer data. IJSRMSS. 2019;6(1), 61-68.
Aijaz A, Jallal M, Qurat Ul, Ain S, Tripathi R. The Hamza distribution with Statistical properties and Applications. Asian Journal of Probability and Statistics. 2020;8(1):28-42.
Gross AJ, Clark VA. Survival distributions: reliability applications in the biometrical sciences. John Wiley, New York; 1975.
Fuller EJ, Frieman S, Quinn J, Quinn G, Carter W. Fracture mechanics approach to the design of glass aircraft windows: a case study, SPIE Proc. 1994;2286:419-430.