Weighted distributions occur naturally in probability and statistics, and provide an approach to dealing with model specification and data interpretation problems. Applications of weighted distributions to biased samples can be seen in various areas including medicine, ecology, reliability, and branching processes.
In this note, stochastic comparisons and results for weighted and Lindley models are presented. Approximation of weighted distributions via Lindley distribution in the class of increasing failure rate (IFR) and decreasing failure rate (DFR) weighted distributions with monotone weight functions are obtained including approximations via the length-biased Lindley distribution. Some useful bounds and moment-type inequality for weighted life distributions and applications are presented. Incorporation of covariates into Lindley model is considered and an application to illustrate the usefulness and applicability of the proposed Lindley-Cox model is given.
“Inequalities and Approximations of Weighted Distributions by Lindley Reliability Measures, and the Lindley-Cox Model with Applications,” is published in the International Journal of Statistics and Probability.
Dr. Broderick O. Oluyede, professor of statistics at Georgia Southern University was the lead author. Dr. Macaulay Okwuokenye, alumni of the Doctor of Public Health in Biostatistics program at the Georgia Southern University Jiann-Ping Hsu College of Public Health, and Dr. Karl E. Peace, professor of biostatistics at Georgia Southern and Georgia Cancer Coalition Distinguished Cancer Scholar were co-authors.
Link to article: http://www.ccsenet.org/journal/index.php/ijsp/article/view/44836