1)
the function belongs to a exponential family if its pdf can be written as:
Please help me to solve this:
Let x1,...xn be a sample random from pdf
f(x\t)=tx^(t-1) , 0<x<1 , t>0
1) to show that the pdf belongs to the exponential family
2)To find the lower limit of variance of two estimators unbiased to t
3)Find a enough statistics to t and its distribution
4)Suggest a estimator unbiased to t that be from unbiased function and check if it is efficient
Thank you