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Crop Yield Skewness and the Normal Distribution AgEcon
Hennessy, David A..
Empirical studies point to negative crop yield skewness, but the literature provides few clear insights as to why. This paper formalizes three points on the matter. Statistical laws on aggregates do not imply a normal distribution. Whenever the weather-conditioned mean yield has diminishing marginal product with respect to a weather-conditioning index, then there is a disposition toward negative yield skewness. This is because high marginal product in bad weather stretches out the yield distribution's left tail relative to that for weather. For disaggregated yields, unconditional skewness is decomposed into weather-conditioned skewness plus two other terms and each is studied in turn.
Tipo: Journal Article Palavras-chave: Conditional distribution; Crop insurance; Negative skewness; Normal distribution; Statistical laws; Crop Production/Industries; Risk and Uncertainty.
Ano: 2009 URL: http://purl.umn.edu/50084
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Analyzing one-way experiments: a piece of cake of a pain in the neck? Scientia Agricola
Kozak,Marcin.
Statistics may be intricate. In practical data analysis many researchers stick to the most common methods, not even trying to find out whether these methods are appropriate for their data and whether other methods might be more useful. In this paper I attempt to show that when analyzing even simple one-way factorial experiments, a lot of issues need to be considered. A classical method to analyze such data is the analysis of variance, quite likely the most often used statistical method in agricultural, biological, ecological and environmental studies. I suspect this is why this method is quite often applied inappropriately: since the method is that common, it does not require too much consideration-this is how some may think. An incorrect analysis may...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Analysis of variance; Assumptions; Graphical statistics; Multiple comparisons; Normal distribution; Non-parametric statistics; One-way designs; Statistical analysis.
Ano: 2009 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-90162009000400020
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The Log-Odd Normal Generalized Family of Distributions with Application Anais da ABC (AABC)
ZUBAIR,MUHAMMAD; POGÁNY,TIBOR K.; CORDEIRO,GAUSS M.; TAHIR,MUHAMMAD H..
Abstract: The normal distribution has a central place in distribution theory and statistics. We propose the log-odd normal generalized (LONG) family of distributions based on log-odds and obtain some of its mathematical properties including a useful linear representation for the new family. We investigate, as a special model, the log-odd normal power-Cauchy (LONPC) distribution. Some structural properties of LONPC distribution are obtained including quantile function, ordinary and incomplete moments, generating function and some asymptotics. We estimate the model parameters using the maximum likelihood method. The usefulness of the proposed family is proved empirically by means of a real air pollution data set.
Tipo: Info:eu-repo/semantics/article Palavras-chave: Generalized class; Maximum likelihood estimation; Normal distribution; Power-Cauchy distribution; Shannon entropy.
Ano: 2019 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652019000300203
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Revisiting the critical values of the Lilliefors test: towards the correct agrometeorological use of the Kolmogorov-Smirnov framework Bragantia
Blain,Gabriel Constantino.
Several studies have applied the Kolmogorov-Smirnov test (KS) to verify if a particular parametric distribution can be used to assess the probability of occurrence of a given agrometeorological variable. However, when this test is applied to the same data sample from which the distribution parameters have been estimated, it leads to a high probability of failure to reject a false null hypothesis. Although the Lilliefors test had been proposed to remedy this drawback, several studies still use the KS test even when the requirement of independence between the data and the estimated parameters is not met. Aiming at stimulating the use of the Lilliefors test, we revisited the critical values of the Lilliefors test for both gamma (gam) and normal distributions,...
Tipo: Info:eu-repo/semantics/article Palavras-chave: Goodness of fit; Gamma distribution; Normal distribution.
Ano: 2014 URL: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0006-87052014000200015
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