The MLE (Estimators) Information Criteria on Florida unemployment rate by county for year 2021.

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Goodness-of-Fit of the Distributions

 Data: Unemployment rate by county in Florida in 2020

Data<-c(7.7, 5.4 , 4.9,  6.1 , 5.9 , 6.6  ,8.8  ,5.2,  7.3,  8.4,  5.4

6.9 , 5.8 , 8.0 , 5.2,  5.5 , 6.7 , 6.7 , 7.6 , 5.4 , 6.8 , 4.9,

5.6 , 5.9,  7.6 , 6.5 , 8.1  ,8.1 , 7.7 , 7.1 , 5.5 , 7.4 , 5.4,

5.6 , 4.2,  8.9 , 7.3 , 5.8 , 6.0 , 4.8 , 6.0 , 6.8 , 7.0 , 6.1,

7.9 , 5.7 , 5.5 , 5.4 ,10.6 ,13.5,  7.6,  7.2 , 7.0 , 9.0 , 7.9,

5.3 , 7.8 , 5.2 , 6.8 , 7.2 , 7.9 , 5.6 , 6.2 , 4.7 , 7.6 , 4.5,

5.9 , 5.8)

 Show the Probability density plot and Probability-Probability plot of the data :

 For all the right skewed  probability distributions :

 1.  Normal

2.  Exponential

3.  Gamma

4.  Weibull

5.  Lognormal

6.  Gumbel

7.  Gompertz

8.  Extreme values

 

9.  Lindley

10.Pareto

11.Chi-squared

12.Lomax

 Distributions

1.       AIC

 

 

2.      BIC

3.      Anderson-Darling

4.      KS Test

5.      Chi-square test

6.      Loglikelihood

 The table : All the parameters will be obtained by the maximum likelihood estimation.(MLE)

 

 The MLE (Estimators), Information Criteria on Florida unemployment rate by county for year 2021.                                                                      

Distributions

Parameters

Loglikelihood

AIC

BIC

Kolmogorov

Test

Anderson-Darling

test

Chi-square test

Normal

Based on the plots and the goodness which distributions is the best distribution for the data .     (Please provide R code use for computation. Not more than 2 parameters)

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