Application of beta distribution model to Malaysian sunshine data

Sulaiman, Muhammad Azwadi; Oo, W. M. Hlaing; Wahab, Mahdi Abd.; Zakaria, Azmi

doi:10.1016/s0960-1481(99)00002-6

Cited by 41 publications

(21 citation statements)

References 12 publications

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“…This distribution has numerous practical applications in many areas including agriculture [18], epidemiology [43], geosciences [16], meteorology [39], population genetics [1], and project management [28].…”

Section: Different Constraints Have Different Symmetries Objective Fmentioning

confidence: 99%

Why Some Families of Probability Distributions Are Practically Efficient: A Symmetry-Based Explanation

Kreinovich

Kosheleva

Nguyen

et al. 2015

Causal Inference in Econometrics

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Out of many possible families of probability distributions, some families turned out to be most efficient in practical situations. Why these particular families and not others? To explain this empirical success, we formulate the general problem of selecting a distribution with the largest possible utility under appropriate constraints. We then show that if we select the utility functional and the constraints which are invariant under natural symmetries -shift and scaling corresponding to changing the starting point and the measuring unit for describing the corresponding quantity x. then the resulting optimal families of probability distributions indeed include most of the empirically successful families. Thus, we get a symmetry-based explanation for their empirical success.

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Section: Different Constraints Have Different Symmetries Objective Fmentioning

confidence: 99%

Why Some Families of Probability Distributions Are Practically Efficient: A Symmetry-Based Explanation

Kreinovich

Kosheleva

Nguyen

et al. 2015

Causal Inference in Econometrics

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show abstract

“…Some random variables are assumed to be beta distributed in the meteorology like the relative humidity of surface by Yao (1974), the daily cloud duration by Chia and Hutchinson (1991) and the sunshine duration by Sulaiman et al (1999). That's why an example of meteorological data is analysed here.…”

Section: Practical Application In Environmental Datamentioning

confidence: 99%

Empirical behaviour of tests for the beta distribution and their application in environmental research

Raschke¹

2010

Stoch Environ Res Risk Assess

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The beta distribution is used in different models of environmental research. The power of the test for beta distribution of Raschke [Biased transformation and its application in goodness-of-fit tests for the beta and gamma distribution. Commun. Statist. B-Computa. Simula. 38 (2009): 1870-1890] is researched here. The power of the Kolmogorov-Smirnov, Kuiper, Cramér-von Mises, Watson and Anderson-Darling tests are researched for different sample sizes, levels of significance and parameters of the beta distribution. The limitation to these tests is discussed including the differences between previous publications. The empirical behaviour is investigated by extensive Monte Carlo simulations. The most powerful test for the beta distribution is the Anderson-Darling test for the considered constellations of alternative distribution, contamination or scaling. The second best test is the Cramér-von Mises test, followed by the Watson test. The analysis of relative humidity data of meteorology and of runoff coefficients of the hydrology demonstrates the advantages of the new tests and the necessity to test an assumption of beta distribution.

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“…The beta distribution was applied furthermore for data of relative sunshine duration of Malaysia by Sulaiman et al (1999). The goodness-of-fit was evaluated by the Kolmogorov-Smirnov test again.…”

Section: Practical Application Of Tests For Beta Distributionmentioning

confidence: 99%

The Biased Transformation and Its Application in Goodness-of-Fit Tests for the Beta and Gamma Distribution

Raschke¹

2009

Communications in Statistics - Simulation and Computation

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Application of beta distribution model to Malaysian sunshine data

Cited by 41 publications

References 12 publications

Why Some Families of Probability Distributions Are Practically Efficient: A Symmetry-Based Explanation

Why Some Families of Probability Distributions Are Practically Efficient: A Symmetry-Based Explanation

Empirical behaviour of tests for the beta distribution and their application in environmental research

The Biased Transformation and Its Application in Goodness-of-Fit Tests for the Beta and Gamma Distribution

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