Characterizations Through the Generalized Inverted Rayleigh Distribution

A New Generalization of the Generalized Inverse Rayleigh Distribution with Applications

“…Furthermore, the skewness, kurtosis, mean, mode, and harmonic mean increase as we increase the value of ν and with the stability of the values of τ, η, and ρ. Additionally, for different values of τ and fixed values of ν, η, and ρ, the skewness, kurtosis, mean, median, mode, and harmonic mean decrease as τ increases. Moreover, we found that our results for ν = τ = 1 are exactly the same as the results in [5]. All graphs and computations presented were carried out by Mathematica 12.0.…”

“…We hope that the proposed model may be interesting for a wider range of statistical research. All results in this article generalize the generalized inverted Rayleigh distribution (GIRD) discussed by [5]. Maximum likelihood estimators of the BGIRD parameters are obtained.…”

“…In addition, ref. [5] studied the characterizations through the generalized inverted Rayleigh distribution.…”

“…We can obtain the beta generalized inverse Rayleigh distribution (BGIRD) by using the pdf and cdf of GIRD in (1) and (2) as a baseline distribution for (5) and (3), which is a generalization of GIRD. The BGIRD is expected to be more flexible in real applications.…”

Alpha Power Generalized Inverse Rayleigh Distribution: Its Properties and Applications

“…Some of the applications of GIR distribution include reliability analysis, operations research, applied statistics, and communication engineering. Bakoban and Abu Baker [35] discussed many important characteristics of GIR distribution.…”