Question: A radioactive sample emits particles randomly at a rate which decays with time, the rate being e- after time t. The first n particles emitted

A radioactive sample emits particles randomly at a rate which decays with time, the rate being

e- after time t. The first n particles emitted are observed at successive times t, t,..., t. Set up equations for the maximum- likelihood estimates and , and show that satisfies the equation where ein-1 Rtn = 1-27, [ = ni Find a simple approximate expression for when t/t is a little greater than

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