# afsdf dfsaf

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# 137 Questions

 4 Prove the Contraction Mapping Theorem. 3 Let $X_1$ and $X_2$ are independent $N(0, \sigma^2)$ random variables. What is the distribution of $X_1^2 + X_2^2$? 3 Let $Y_1, Y_2,\ldots,Y_n$ denote a random sample from the uniform distrib… Help find finding $\text{Var}\left[\hat{\theta}_{2}\right]$ 3 Understanding the setup for the probability that $Ax^2+Bx+C$ has real roots if A, B, and C are random variables uniformly distribted over (0,1). 3 For $x' = y$, and $y' = -x - y$, Find all equilibrium points and decide whether they are stable, asymptotically stable, or unstable.

# 445 Reputation

 +20 Let $X_1$ and $X_2$ are independent $N(0, \sigma^2)$ random variables. What is the distribution of $X_1^2 + X_2^2$? +5 Find the bias for the Maximum-likelihood estimator +2 Puzzle for Applying the Definition to a t distribution +5 Find the pdf of $\prod_{i=1}^n X_i$, where $X_is$ are independent uniform [0,1] random variables.

 0 Marginal density function understanding 0 Marginal density function understanding 0 Marginal density function understanding

# 35 Tags

 0 probability-distributions × 62 0 differential-equations × 28 0 probability × 59 0 calculus × 11 0 probability-theory × 56 0 pde × 8 0 statistics × 42 0 limits × 8 0 real-analysis × 37 0 matrices × 7

# 7 Accounts

 Mathematics 445 rep 312 Cross Validated 118 rep 6 Stack Overflow 113 rep 6 Personal Finance & Money 108 rep 4 Code Review 101 rep