An extended sujatha distribution with statistical properties and applications
- Biometrics & Biostatistics International Journal
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Hosenur Rahman Prodhani, Rama Shanker
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Abstract
In this paper, an extended Sujatha distribution has been proposed using the exponentiated
technique on Sujatha distribution. Statistical properties including survival function,
hazard function, harmonic mean, moment generating function, order statistics and Renyi
entropy have been discussed. Moments of the proposed distribution has been obtained. The
estimation of parameters using the maximum likelihood method and maximum product
spacing method has been explained. The simulation study has been presented to know
the performance of maximum likelihood estimates as the sample size increases. Finally,
two examples of real lifetime datasets from the engineering field have been presented to
demonstrate its applications and the goodness of fit of extended Sujatha distribution shows
better fit over exponentiated exponential and exponentiated Aradhana distributions.
Keywords
exponentiated distribution, sujatha distribution, statistical properties, maximum likelihood estimation, applications
