Mathematics Stack Exchange
Mathematics Stack Exchange

Questions tagged [sufficient-statistics]

For questions about sufficient statistics. A statistic is sufficient for a parametric model if the distribution of the data conditioned on the statistic is parameter-free. For more general questions about statistics and estimators, please use "statistical-inference".

For questions about sufficient statistics. A statistic is sufficient for a parametric model if the distribution of the data conditioned on the statistic is parameter-free. For more general questions about statistics and estimators, please use .

127 questions
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minimal sufficient statistic

Let X ~ Ber(n1; p), Y ~ Ber(n2; p^2), where X and Y are independent. Find a minimal sufficient statistic T and, using a nontrivial function, show that it is not complete. I get confused by having two different distribution! is it true to simply…
sara st
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Finding Sufficient statistic

Let $X_1,\dots X_n$ be an i.i.d sample from the distribution with frequency function $$P(X=x) = \left(\frac{\theta}{2}\right)^{|x|}(1-\theta)^{1-|x|}$$ for $x = -1,0,1$. Use the factorization theorem to find a sufficient statistic for…
hazard
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How is $\{\mathbf{X} = \mathbf{x}\}$ a subset of $\{T(\mathbf{X}) = T(\mathbf{x})\}$ ($T$ is a sufficient statistic)?

(I went through some related StackExchange questions but none addresses the one I have. If you do find one that addresses mine below, I'd be happy to look into that.) In Chapter 6.2 of Casella and Berger's Statistical Inference where the topic of…
Khai Yi Chin
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SweSAT Data Sufficiency

A product has undergone two price increases with the same percentage, ie by x percent each time. How big was the increase in percent each time? ( 1 ) The total price increase was 450 dollars (2) After the two price increases, the price of the…
Robert D. Clark
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What are the coordinates of point P? SweSAT Data sufficiency

The points $P = (x_1, y_1)$ and $Q(3, 4)$ are on the line $y=kx+m$. What are the coordinates of point $P$ ? Given $m = -2$ $P$ is on the line $x=2$ We need both information together to solve the problem. I don't know how to approach this…
Ragnar
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