Mathematics, Vol. 11, Pages 1693: Half Logistic Inverted Nadarajah–Haghighi Distribution under Ranked Set Sampling with Applications

Mathematics, Vol. 11, Pages 1693: Half Logistic Inverted Nadarajah–Haghighi Distribution under Ranked Set Sampling with Applications

Mathematics doi: 10.3390/math11071693

Authors: Naif Alotaibi A. S. Al-Moisheer Ibrahim Elbatal Mansour Shrahili Mohammed Elgarhy Ehab M. Almetwally

In this paper, we present the half logistic inverted Nadarajah–Haghigh (HL-INH) distribution, a novel extension of the inverted Nadarajah–Haghigh (INH) distribution. The probability density function (PDF) for the HL-INH distribution might have a unimodal, right skewness, or heavy-tailed shape for numerous parameter values; however, the shape forms of the hazard rate function (HRF) for the HL-INH distribution may be decreasing. Four specific entropy measurements were investigated. Some useful expansions for the HL-INH distribution were investigated. Several statistical and computational features of the HL-INH distribution were calculated. Using simple (SRS) and ranked set sampling (RSS), the parameters for the HL-INH distribution were estimated using the maximum likelihood (ML) technique. A simulation analysis was executed in order to determine the model parameters of the HL-INH distribution using the SRS and RSS methods, and RSS was shown to be more efficient than SRS. We demonstrate that the HL-INH distribution is more adaptable than the INH distribution and other statistical distributions when utilizing three real-world datasets.