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On the Regression Model for Generalized Normal Distributions
Entropy, 2021 The traditional linear regression model that assumes normal residuals is applied extensively in engineering and science. However, the normality assumption of the model residuals is often ineffective.
Ayman Alzaatreh +3 more
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The characterisation of the normal distribution [PDF]
Journal of the Australian Mathematical Society, 1960 There are a number of well known theorems on the mutual independence of forms, either linear or quadratic, in normal variables. Some of these theorems can only hold when the system of variables is normal or degenerate and so the possibility of certain forms being independent characterises the normal distribution.
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Stochastic Orders on the Univariate Unified Skew Normal Family of Distributions
Revstat Statistical JournalThe family of Unified Skew Normal distributions is associated with probability distributions encountered in various problems, notably those of the selection of individuals in a normal population.
Souhila Merabet, Rabah Messaci
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Enhancing the Performance of the Mont Carlo Simulation for Generating Correlated Data: An Application to Climate Change [PDF]
مهندسی منابع آب, 2016 The Mont Carlo simulation is widely used for data generation based on specified distribution. However, generation of correlated data is only possible for specific distributions (bivariate normal), while it is required to deal with non-normal ...
B. Ghahraman, A. Ghahraman
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Assessing the measurement uncertainty of qualitative analysis in the clinical laboratory
Journal of Laboratory Medicine, 2020 Measurement uncertainty is a parameter that is associated with the dispersion of measurements. Assessment of the measurement uncertainty is recommended in qualitative analyses in clinical laboratories; however, the measurement uncertainty of qualitative ...
Lim Yong Kwan +3 more
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One-sided tolerance limits for the normal distribution, p = 0.80, ? = 0.80
, 1976 A table is given of factors k used in constructing one-sided tolerance limits for a normal distribution. This table was obtained by interpolation in an existing table of percentage points of the noncentral t-distribution.
Wampler, Roy H.
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RisksIn the insurance literature, accurately predicting extreme losses has been a persistent and important problem. Recently, under the modelling framework of weighted distributions, several finite-mixture size-biased distributions, including size-biased ...
Taehan Bae, Jieun Kim, Jae Youn Ahn
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ESAIM: Probability and StatisticsIt is well known that the probability distribution of the product of two normal variables itself approaches a normal distribution if one of the factor variables has a low coefficient of variation. A related, but apparently somewhat neglected problem, is to find the conditional distribution of a factor variable when the product of two independent normal
Tore Langholm, Harald Totland
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Studies in Logic, Grammar and Rhetoric, 2023 The development of medicine is based on reliable medical research. This is a process that must be planned in detail and performed in accordance with the accepted study protocol, as any negligence – even a small one – or deviation from the protocol may ...
Milewski Robert, Roszak Magdalena
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A Property of the Normal Distribution
The Annals of Mathematical Statistics, 1954 The following theorem is proved. Let $X_1, X_2, \cdots, X_n$ be $n$ independently (but not necessarily identically) distributed random variables, and assume that the $n$th moment of each $X_i(i = 1, 2, \cdots, n)$ exists. The necessary and sufficient conditions for the existence of two statistically independent linear forms $Y_1 = \sum^n_{s=1} a_sX_s ...
Lukacs, Eugene, King, Edgar P.
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