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StubbornAtom

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self-study

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212 posts edited

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Answers (156)

Votes Activity Newest

9	Why is this estimator biased?
8	Find UMVUE of $\frac{1}{\theta}$ where $f_X(x\mid\theta) =\theta(1 +x)^{−(1+\theta)}I_{(0,\infty)}(x)$
8	Simple examples of uncorrelated but not independent $X$ and $Y$
7	Sufficient statistics for Uniform $(-\theta,\theta)$
7	Prove that $\text{Corr}(X^2,Y^2)=\rho^2$ where $X,Y$ are jointly $N(0,1)$ variables with correlation $\rho$

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Reputation (6,887)

+10	Unbiased estimator of binomial parameter
+10	Is a minimal sufficient statistic also a complete statistic
+10	Is MLE of $\theta$ asymptotically normal when $(X,Y)\sim e^{-(x/\theta+\theta y)}\mathbf1_{x,y>0}$?
+10	Finding credible interval for $\mu_1-\mu_2$ when $X_i\sim N(\mu_1,\sigma^2)$ and $Y_i\sim N(\mu_2,\sigma^2)$

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Questions (42)

Votes Activity Newest

18	Distribution of $\frac{\sum_{i=1}^n X_iY_i}{\sum_{i=1}^n X_i^2}$ where $X_i,Y_i$s are i.i.d Normal variables
13	$(2Y-1)\sqrt X\sim\mathcal N(0,1)$ when $X\sim\chi^2_{n-1}$ and $Y\sim\text{Beta}\left(\frac{n}{2}-1,\frac{n}{2}-1\right)$ independently
12	Constructing example showing $\mathbb{E}(X^{-1})=(\mathbb{E}(X))^{-1}$
12	If $X$ and $Y$ are independent Normal variables each with mean zero, then $\frac{XY}{\sqrt{X^2+Y^2}}$ is also a Normal variable
11	Is MLE of $\theta$ asymptotically normal when $(X,Y)\sim e^{-(x/\theta+\theta y)}\mathbf1_{x,y>0}$?

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Tags (128)

163 self-study × 97	41 inference × 25
68 mathematical-statistics × 55	37 umvue × 17
65 distributions × 50	33 hypothesis-testing × 25
57 normal-distribution × 30	31 probability × 20
52 estimation × 28	29 sufficient-statistics × 18

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Bookmarks (673)

Votes Activity Newest Views Added

1136	Making sense of principal component analysis, eigenvectors & eigenvalues
560	What is the difference between “likelihood” and “probability”?
491	What is the intuition behind beta distribution?
491	What is the difference between test set and validation set?
471	Why square the difference instead of taking the absolute value in standard deviation?

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Accounts (3)

	Mathematics	12,615 rep	3 gold badges22 silver badges54 bronze badges
	Cross Validated	6,887 rep	1 gold badge13 silver badges53 bronze badges
	Mathematica	155 rep	8 bronze badges

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Votes cast (452)

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337	up		266	question		3		1
115	down		186	answer		3		1

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