"estimation of beta-normal" & "simulation the gini index of beta-normal distribution" in R

Regarding "beta-normal distribution formula" which has been uploaded, I want to debug my scripts to estimate the parameters of the beta-normal distribution.

I've used the maxLik package in r:



















the results are quite wrong as shown below:



Maximum Likelihood estimation

Newton-Raphson maximisation, 3 iterations

Return code 3: Last step could not find a value above the current.

Boundary of parameter space?

Consider switching to a more robust optimisation method temporarily.

Log-Likelihood: -131157.7

4 free parameters


Estimate Std. error t value Pr(> t)

alfa 5.1037852 NA NA NA

beta 2.3962128 NA NA NA

mu 1.5954536 0.0099872 159.8 <2e-16 *

sigma 0.0444610 0.0001726 257.6 <2e-16 *


Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1


Warning messages:

1: In sqrt(diag(vc)) : NaNs produced

2: In sqrt(diag(vc)) : NaNs produced


the problem is the NA value for the errors which is not acceptable.

I would be pleased if someone could solve this problem and send me the current scripts which I can edit or add it to my scripts.

More over, regarding "gini index of beta-normal distribution" formula which has been uploaded, I want to simulate this formula by the above method

please inform me about the duration of the project.

Beceriler: R Programlama Dili, İstatistiksel Analiz, İstatistik

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Proje NO: #15594267

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Your work will be handled with confidentiality. Professionalism is my core value. • descriptive statistics • chi square and t test • Analysis of variance • correlation and regression. • and lot more. Relevant Skills a Daha Fazla

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