Question: Please please please help me solve these and provide any available references please please please please please! It is not long I am just not

Please please please help me solve these and provide any available references please please please please please! It is not long I am just not sure how to solve it :(!

Parts a and b pleaseeee!

2 Density Estimation [5.0 pts] Consider a histogramlike density model in which the space 3; is divided into xed regions for which density p(m) takes constant value ha, over ith region, and that the volume of region 2' in denoted as A,;. Suppose we have a set of N observations of a: such that m of these observations fall in regions 2'. (a) What is the log-likelihood function? [1.5 pts] (b) Derive an expression for the maximum likelihood estimator for hi. [2.0 pts] Hint: This is a constrained optimization problem. Remember that 30(3) must integrate to unity. Since p(;c) has constant value h1- over region 3', which has volume Ar. The normalization constraint is 2:; hiAi = 1. Use Lagrange multiplier by adding A (Z: fig-At- 1) to your objective function

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