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Stochastic Comparisons of Weighted Distributions and Their Mixtures [PDF]
Entropy, 2020 In this paper, various stochastic ordering properties of a parametric family of weighted distributions and the associated mixture model are developed. The effect of stochastic variation of the output random variable with respect to the parameter and/or ...
Abdulhakim A. Albabtain +3 more
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Two Weighted Distributions Generated by Exponential Distribution
Journal of Mathematical Extension, 2015 In this paper, we propose new classes of weighted distributions by incorporating exponential distribution in Azzalini’s method. Resulting weighted models generated by exponential distribution are: the weighted gamma-exponential model and the weighted ...
A. Mahdavi
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Distribution-Dependent Weighted Union Bound [PDF]
Entropy, 2021 In this paper, we deal with the classical Statistical Learning Theory’s problem of bounding, with high probability, the true risk R(h) of a hypothesis h chosen from a set H of m hypotheses. The Union Bound (UB) allows one to state that PLR^(h),δqh≤R(h)≤UR^(h),δph≥1−δ where R^(h) is the empirical errors, if it is possible to prove that P{R(h)≥L(R^(h),δ)}
Oneto L., Ridella S.
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Computational Journal of Mathematical and Statistical Sciences, 2023 This paper introduces the length-biased weighted exponentiated inverted exponential distribution with sub models. The basic statistical properties are derived such as mean, mode, variance, reliability functions, moment generating function, characteristic
Marwa Mohamed Salama +2 more
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Wasserstein and weighted metrics for multidimensional Gaussian distributions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We present a number of low and upper bounds for Levy – Prokhorov, Wasserstein, Frechet, and Hellinger distances between probability distributions of the same or different dimensions.
Kelbert, Mark Yakovlevich +1 more
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A Weighted Cosine-G Family of Distributions: Properties and Illustration Using Time-to-Event Data
Axioms, 2023 Modeling and predicting time-to-event phenomena in engineering, sports, and medical sectors are very crucial. Numerous models have been proposed for modeling such types of data sets.
Omalsad Hamood Odhah +3 more
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Stochastic Properties of the Weighted Hazard Rate Order [PDF]
Journal of Statistical Theory and Applications (JSTA), 2015 The hazard rate order between two weighted distributions with a given weight function is considered as a new stochastic order called weighted hazard rate order. The influences of biased sampling methods on properties of the hazard rate order are usefully
S. Izadkhah +2 more
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Identifying Process Deterioration in Weighted Exponentially Distributed Time Between Events
International Journal of Analysis and Applications, 2023 In observational studies, the probability of selection of sampling units is not always equal. The recorded observations are biased in this scenario. The unweighted distributions in such situations are not useful until the inclusion probability of each ...
Taswar Iqbal +3 more
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Weighted Lomax distribution [PDF]
SpringerPlus, 2016 The Lomax distribution (Pareto Type-II) is widely applicable in reliability and life testing problems in engineering as well as in survival analysis as an alternative distribution. In this paper, Weighted Lomax distribution is proposed and studied. The density function and its behavior, moments, hazard and survival functions, mean residual life and ...
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Discriminating among Generalized Exponential, Weighted Exponential and Weibull Distributions
Mathematics, 2023 In this paper, we consider the problem of discriminating among three different positively skewed lifetime distributions, namely the generalized exponential distribution, the weighted exponential distribution, and the Weibull distribution.
Ruizheng Niu +2 more
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