Week 9 : Activity 6 

Directive :

To create a Google Colab notebook with:

• Histogram for the data.

• Fit one of the known distributions to the data.

• Calculate method of moments estimate and ML estimate for the unknown parameter(s) of the selected distribution.

• Use the bootstrap method to form approximate confidence intervals for the parameters, if applicable.

The data is collected randomly generated using excel function for gamma distribution.

This colab analyzes the given dataset containing a gamma distribution and performs following tasks :

• Plotting histogram for given data

• Finding estimators for the unknown parameter(s) by method of moments :

mean:  7.918112233355035

variance :  31.323047804332276 

AlphaMM = 2.0016092217991357

BetaMM = 0.2527886903859938

• Finding estimators for the unknown parameter(s)  by maximum likelihood (at the end of colab)

• Calculation of confidence intervals using bootstrap method : [0.2363801157108883, -0.1907779758883079]

Conclusion: