Abstract
This article introduces a new flexible family of distributions, defined by means of a quantile function. The quantile function proposed is the sum of quantile functions of the half logistic and exponential geometric distributions. Various distributional properties and reliability characteristics are discussed. The estimation of the parameters of the model using L-moments is studied. The model is applied to a real-life data set.
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The second author is thankful to Kerala State Council for Science Technology and Environment (KSCSTE) for financial support.
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Sankaran, P.G., Dileep Kumar, M. A new class of quantile functions useful in reliability analysis. J Stat Theory Pract 12, 615–634 (2018). https://doi.org/10.1080/15598608.2018.1448732
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DOI: https://doi.org/10.1080/15598608.2018.1448732
Keywords
- Exponential geometric distribution
- half logistic distribution
- hazard quantile function
- L-moments quantile density function
- quantile function