Truncated Inverse Generalized Rayleigh Distribution and Some Properties
Main Article Content
Abstract
Truncated distributions arise naturally in many practical situations. It’s a conditional distribution that develops when the parent distribution's domain is constrained to a smaller area. The distribution of a right truncated is one of the types of a single truncated that is restricted within a specific field and usually occurs when the specified period for the study is complete. Hence, this paper introduces Right Truncated Inverse Generalized Rayleigh Distribution (RTIGRD) with two parameters is introduced. Then, provided some properties such as; (probability density function, cumulative distribution function (CDF), survival function, hazard function, rth moment, mean, variance, Moment Generating Function, Skewness, kurtosis, Median, and Mode for Right Truncated Inverse Generalized Rayleigh Distribution on [0,1].
Article Details
This work is licensed under a Creative Commons Attribution 4.0 International License.
licenseTermsHow to Cite
Publication Dates
References
Alaesa, M. S. I. Comparison among some Methods of Estimating the Parameters of Truncated Normal Distribution (Doctoral dissertation, Zarqa University). 2017.
Jebur, I. G; Kalaf, B. A; Salman, A. N. On Bayesian Estimation of System Reliability in Stress–Strength Model Based on Generalized Inverse Rayleigh Distribution. In IOP Conference Series: Materials Science and Engineering IOP Publishing. 2020, 871, (1).
Kalaf, B. A; Raheem, S. H; Salman, A. N. Estimation of the reliability system in model of stress-strength according to distribution of inverse Rayleigh. Periodicals of Engineering and Natural Sciences (PEN) .2021, 9(2), 524-533.
Galton, F. An examination into the registered speeds of American trotting horses, with remarks on their value as hereditary data. Proceedings of the Royal Society of London .1898, 62(379-387), 310-315.
Abid, S. H. Properties of doubly-truncated Fréchet distribution. American Journal of Applied Mathematics and Statistics. 2016, 4(1), 9-15.
Abid, S. H., & Abdulrazak, R. K. Truncated Fréchet-Gamma and Inverted Gamma Distributions. Int. J. Sci. World. 2017, 5(2), 151-167.
Najarzadegan, H; Alamatsaz, M. H; Hayati, S. Truncated Weibull-G more flexible and more reliable than beta-G distribution. International Journal of Statistics and Probability. 2017, 6(5), 1-17.
Abid, S; & Abdulrazak, R. [0, 1] truncated Frechet-Weibull and Frechet distributions. International Journal of Research in Industrial Engineering .2018, 7(1), 106-135.
Al-Marzouki, S. Truncated Weibull power Lomax distribution: statistical properties and applications. Journal of Nonlinear Sciences & Applications (JNSA). 2019, 12(8).
Hussein, H. M; & Ahmed, A. P. D. M. T. Family of [0, 1] Truncated Gompertz–Exponential DistributionWith Properties and Application. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2021, 12(14), 1383-1399.
Rattanalertnusorn, A; Aryuyuen, S. The zero-truncated discrete transmuted generalized inverse Weibull distribution and its applications. Songklanakarin Journal of Science & Technology. 2021, 43(4).
Altawil, J. [0, 1] truncated lomax–lomax distribution with properties. Journal of Kufa for Mathematics and Computer. 2021, 8(1), 1-8.
Raheem, S. H; Mansor, H. K; Kalaf, B. A; & Salman, A. N. A Comparison for Some of the estimation methods of the Parallel Stress-Strength model In the case of Inverse Rayleigh Distribution. In 2019 First International Conference of Computer and Applied Sciences (CAS). 2019, 22-27.
Mudholkar, G. S; & Srivastava, D. K. Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE transactions on reliability. 1993, 42(2), 299-302.
Jebur, I. G; Kalaf, B. A; & Salman, A. N. (2021, May). An efficient shrinkage estimators for generalized inverse Rayleigh distribution based on bounded and series stress-strength models. In Journal of Physics: Conference Series .IOP Publishing. 2021, 1897, (1), p. 012054.