Skewness and the Beta Distribution

Soumyo D. Moitra

doi:10.1057/jors.1990.147

Products of 2 × 2 stochastic matrices with random entries

Journal of Applied Probability ◽

10.1017/s0021900200115943 ◽

1986 ◽

Vol 23 (04) ◽

pp. 1019-1024

Author(s):

Walter Van Assche

Keyword(s):

Rate Of Convergence ◽

Beta Distribution ◽

Stopping Time ◽

Stochastic Matrices

The limit of a product of independent 2 × 2 stochastic matrices is given when the entries of the first column are independent and have the same symmetric beta distribution. The rate of convergence is considered by introducing a stopping time for which asymptotics are given.

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Time Series Model of Wind Power Forecasting Error by using Beta Distribution for Optimal Sizing of Battery Storage

IEEJ Transactions on Power and Energy ◽

10.1541/ieejpes.139.212 ◽

2019 ◽

Vol 139 (3) ◽

pp. 212-224

Author(s):

Xiaowei Dui ◽

Masakazu Ito ◽

Yu Fujimoto ◽

Yasuhiro Hayashi ◽

Guiping Zhu ◽

...

Keyword(s):

Time Series ◽

Wind Power ◽

Beta Distribution ◽

Time Series Model ◽

Battery Storage ◽

Wind Power Forecasting ◽

Optimal Sizing ◽

Forecasting Error ◽

Power Forecasting

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Moments of order statistics and k-record values arising from the complementary beta distribution with application

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113386 ◽

2021 ◽

Vol 390 ◽

pp. 113386

Author(s):

Roghaye Makouei ◽

Hossein Jabbari Khamnei ◽

Mahdi Salehi

Keyword(s):

Order Statistics ◽

Beta Distribution ◽

Record Values ◽

Moments Of Order Statistics

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Continuous thermodynamics of phase equilibria using the beta distribution function and an equation of state

Korean Journal of Chemical Engineering ◽

10.1007/bf02697397 ◽

1993 ◽

Vol 10 (2) ◽

pp. 71-77 ◽

Cited By ~ 3

Author(s):

Jiho Park ◽

Hwayong Kim

Keyword(s):

Distribution Function ◽

Equation Of State ◽

Phase Equilibria ◽

Beta Distribution ◽

Beta Distribution Function

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How much should a pedestrian be fined for intentionally blocking a fully automated vehicle? A random parameters Beta hurdle model with heterogeneity in the variance of the Beta distribution

Analytic Methods in Accident Research ◽

10.1016/j.amar.2021.100186 ◽

2021 ◽

pp. 100186

Author(s):

Amir Pooyan Afghari ◽

Eleonora Papadimitriou ◽

Xiaomeng Li ◽

Sherrie-Anne Kaye ◽

Oscar Oviedo-Trespalacios

Keyword(s):

Beta Distribution ◽

Hurdle Model ◽

Random Parameters ◽

Automated Vehicle

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Closure to “Parameter Estimation of Beta Distribution for Unit Hydrograph Derivation” by P. K. Bhunya, S. K. Mishra, C. S. P. Ojha, and Ronny Berndtsson

Journal of Hydrologic Engineering ◽

10.1061/(asce)1084-0699(2006)11:2(196) ◽

2006 ◽

Vol 11 (2) ◽

pp. 196-198

Author(s):

P. K. Bhunya ◽

S. K. Mishra ◽

C. S. Ojha ◽

Ronny Berndtsson

Keyword(s):

Parameter Estimation ◽

Beta Distribution ◽

Unit Hydrograph

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F-Test Alternatives to Fisher’s Exact Test and to the Chi-Square Test of Homogeneity in 2 × 2 Tables

Journal of Educational Statistics ◽

10.3102/10769986008001059 ◽

1983 ◽

Vol 8 (1) ◽

pp. 59-73 ◽

Cited By ~ 1

Author(s):

John E. Overall ◽

Robert R. Starbuck

Keyword(s):

Beta Distribution ◽

Binary Response ◽

Binomial Model ◽

Chi Square ◽

Exact Probability ◽

Exact Test ◽

Mutual Dependence ◽

Treatment Groups ◽

Test Of Homogeneity ◽

Chi Square Test

A binomial model is proposed for testing the significance of differences in binary response probabilities in two independent treatment groups. Without correction for continuity, the binomial statistic is essentially equivalent to Fisher’s exact probability. With correction for continuity, the binomial statistic approaches Pearson’s chi-square. Due to mutual dependence of the binomial and F distributions on the beta distribution, a simple F statistic can be used for computation instead of the binomial.

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