Answer Happy

2 (**) www Consider a histogram-like density model in which the space x is di- vided into fixed regions for which the density p(x) takes the constant value hi over the ith region, and that the volume of region i is denoted A;. Suppose we have a set of N observations of x such that ni of these observations fall in region i. Using a Lagrange multiplier to enforce the normalization constraint on the density, derive an expression for the maximum likelihood estimator for the {hi}.