Probability distributions: general theory

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A Unified Approach for Generalizing Some Families of Probability Distributions, with Applications to Reliability Theory

Pakistan Journal of Statistics and Operation Research, 2018
In this paper, we propose a new method for generating families of continuous distributions based on the star-shaped property which grantees the existences of some well know properties for the generated classes and distributions for any non-negative random variables. We refer to the new class as the composed family or shortly ( ) family.
Ahmed A. Fattah, A-Hadi N. Ahmed
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On a Generating Function and its Probability Distributions. A Contribution to the Theory of Transition Rates I

Zeitschrift für Naturforschung A, 2006
A function of two complex variables with two real parameters a and b is described, which generates a sequence of probability distributions of two integer variables m ≥ 0 and n ≥ 0. Closed expressions for the special b = 0 and general case b≠ 0 and recurrence equations for calculating the probability distributions are derived.
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Design of Bayesian Clinical Trials With Clustered Data. [PDF]

Stat Med
Hagar L, Golchi S.
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Continuum approximation of dislocation correlations for systems of curved dislocations. [PDF]

J Mater Sci Mater Theory
Marx AJ, Sandfeld S, Hochrainer T.
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The new rank-based concentration index: Further analysis and properties. [PDF]

PLoS One
Kvålseth TO.
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A time-dependent reliability model for spatial intermittent motion mechanisms via constant-amplitude alternating fatigue load equivalent method. [PDF]

Sci Rep
Cheng P, Zhang T, Zhu Y.
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A Review: Construction of Statistical Distributions. [PDF]

Entropy (Basel)
Fang KT, Lin YX, Deng YH.
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Divergent patterns of probabilistic reasoning in humans and GPT-5. [PDF]

Front Psychol
Imannezhad P, Pothos EM, Wills AJ.
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Theory-independent monitoring of the decoherence of a superconducting qubit with generalized contextuality. [PDF]

Nat Commun
Aloy A +4 more
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Scaling laws for function diversity and specialization across socioeconomic and biological complex systems. [PDF]

Proc Natl Acad Sci U S A
Yang VC +6 more
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