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Hypothesis testing assesses whether data are inconsistent with a given hypothesis (usually a null hypothesis of no effect).

1 vote
0 answers
132 views

Optimal hypothesis testing for sum of random variables

If $\frac{p_0(x)}{p_1(x)}$ is a non-decreasing function of $x$, how can I prove that $\frac{p_0(x)^{*n}}{p_1(x)^{*n}}$ is a non-decreasing function of $x$, where $f^{{*n}}(x)=\overbrace {f(x)*f(x …
Sus20200's user avatar
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1 vote
0 answers
38 views

Hypothesis testing to discriminate between two renewal processes

We have time [0,T] to observe a renewal point process, where the inter-renewal timings are i.i.d, and then decide whether the observation is according to a renewal process in which the pdf of inter-r …
Sus20200's user avatar
  • 381
1 vote
0 answers
61 views

Likelihood ratio testing on infinite dimensional vector

I am performing a likelihood ratio test on a vector containing observations $\textbf{a}$. The number of observation is a random variable $\in \{1,2,\ldots\}$, so the vector of observations may have …
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