Find the Cramer Rao Lower Bound of the Exponential Distribution

Statistics Find the Cramer Rao Lower Bound of the Exponential Distribution . This distribution is a discrete distribution with (lambda) as its parameter. The random variables X are all independent of each other . This function f(x) is the pdf ( probability density function ) of the distribution. The idea is to find the Minimum Variance Unbiased Estimator of which the Cramer-Rao Lower Bound is one. We find the log of the pdf and then take the derivative with regards to the parameter (lambda) . Then we square this and find the Expectation of its value using Expectation of E(log x^2) and E[(log x)^2] https://youtu.be/IBK8322JonM https://youtu.be/j5pkXs5-rb4 https://youtu.be/aWZkN01Vpo0 https://youtu.be/eiXwfqCCE8A https://youtu.be/cd5Pb1D4mgk #statistics #logarithm #discretemaths #probabilityandstatistics #stats #probability_distribution #bernoulli #binomial_distribution #poissondistribution #exponential