Some Statistical Properties of a Weighted Distribution and Its Application to Waiting Time Data
Brijesh P. Singh
Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi- 221005, Uttar Pradesh, India.
Utpal Dhar Das *
Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi- 221005, Uttar Pradesh, India.
*Author to whom correspondence should be addressed.
Abstract
The weighted distribution is mainly used in various real life fields such as ecology, reliability engineering, medical science etc. Some statistical properties are derived such as moment generating function, characteristic function, cumulative generating function, the hazard function, Renyi entropy, Cumulative residual entropy. For parameter estimation maximum likelihood estimation method is used. The considered weighted probability distribution is applied to two real data sets of waiting time to examine the suitability and applicability.
Keywords: MGF, MRLF, Entropy, MLE, Waiting Time, Fecundability.