IJSREG Trion Studio

No Publication Cost

Vol 9, No 1:

subscription

Power Generalized DUS Transformation of Exponential Distribution
Beenu Thomas , V M Chacko
Abstract
In recent years DUS transformation of lifetime distributions has received attention from many engineers and researchers. The present study introduces a new class of distribution using exponentiation of DUS transformation. A new distribution using the Exponential distribution as the baseline distribution in this transformation is proposed. The statistical properties of the proposed distribution have been examined and the parameter estimation is done using the method of maximum likelihood. Simulation study is illustrated and the fitness of the proposed model is established using real data analysis.

Full Text
PDF
References
A. Rѐnyi A; On measures of entropy and information. Proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability Berkeley: University of California Press, vol. 1, 547-561 (1961).
A. Tripathi; U. Singh; S. K. Singh; Inferences for the DUS-Exponential Distribution Based on upper record values, Annals of Data Science, 1-17 (2019).
D. Kumar; U. Singh; S. K. Singh;  A new distribution using sine function - its application to bladder cancer patients data, Journal of Statistics Applications and Probability Letters, 54(3), 417-427 (2015).
D. Kumar; U. Singh; S. K. Singh; A method of proposing new distribution and its application to bladder cancer patients data, Journal of Statistics Applications and Probability Letters, 2(3), 235-245 (2015).
G. M. Cordeiro; de Castro M; A new family of generalized distributions, Journal of Statistical Computation and Simulation, 81(7), 883-898 (2011)
G. M. Cordeiro; E. M. M. Ortega; D. C. C.  da Cunha; The exponentiated generalized class of distributions, Journal of Data Science,11,1-27 (2013).
J. F. Lawless; Statistical models and methods for lifetime data. John Wiley and Sons, New York, (1982).
K. S. Deepthi; V. M. Chacko; An upside-down bathtub-shaped failure rate model using a DUS transformation of Lomax distribution, Lirong Cui; Ilia Frenkel; Anatoly Lisnianski (Eds); Stochastic Models in Reliability Engineering, Taylor & Francis Group, Boca Raton, CRC Press chapter 6, 81-100 (2020).
P. Gauthami; V. M.  Chacko; DUS transformation of Inverse Weibull distribution: An upside-down failure rate model, Reliaility: Theory and Applications, Vol 16, No 2(62), 58-71 (2021).
P. Kavya; M.  Manoharan; On a Generalized lifetime model using DUS transformation, V. Joshua; S. Varadhan; V. Vishnevsky; (Eds), Applied Probability and Stochastic Processes, Infosys Science Foundation Series, Springer, Singapore.281-291 (2020).
R. C. Gupta; R. D. Gupta; P. L. Gupta; A method of proposing new distribution and its application to bladder cancer patients data, Communications in Statistics - Theory and Methods, 27, 887-904 (1998).
S. K. Maurya; A. Kaushik; S. K. Singh; U. Singh; A new class of exponential transformed Lindley distribution and its application to Yarn data, International Journal of Statistics and Economics, 18(2), (2016).
S. Nadarajah; S. Kotz; The exponentiated type distributions, Acta Applicandae Mathematica, 92(2), 97-111 (2006).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser