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A generalized log-normal distribution and its goodness of fit to censored data

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Abstract

In life testing experiments, the skewed distributions like log-normal, Weibull, gamma and generalized gamma are the most suitable models for recording the failure time measurements. In this paper, a generalized version of log-normal distribution is proposed and its goodness-of-fit for a randomly censored data set representing the remission times of bladder cancer patients has been demonstrated and compared with other lifetime models considered in the literature. The P-P plots of Kaplan-Meier estimator against the survival functions of the considered models are used to show the goodness-of-fit. A simulation study is also performed to estimate the parameters in both the classical and Bayesian setups.

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Correspondence to Bhupendra Singh.

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Singh, B., Sharma, K.K., Rathi, S. et al. A generalized log-normal distribution and its goodness of fit to censored data. Comput Stat 27, 51–67 (2012). https://doi.org/10.1007/s00180-011-0233-9

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  • DOI: https://doi.org/10.1007/s00180-011-0233-9

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