query: If Z has a normal distribution with mean 0 and variance $\sigma^{2}$, and $Y=Z^{2}$, what would the density function of Y be?
positive_passages.docid: 72841
positive_passages.text: Proof that if $Z$ is standard normal, then $Z^2$ is distributed Chi-Square (1).
negative_passages.docid: 48861
negative_passages.text: Probability density and distribution function
negative_passages.docid: 109816
negative_passages.text: z-score and Normal Distribution
negative_passages.docid: 147322
negative_passages.text: Does the square of uniform distribution have density function?
negative_passages.docid: 78386
negative_passages.text: Finding the moment generating function of the product of two standard normal distributions
negative_passages.docid: 98179
negative_passages.text: if 2 random variables have exactly same mean and variance
negative_passages.docid: 109382
negative_passages.text: What is the distribution of $Y = e^X$ when $X$ is normal?
negative_passages.docid: 108150
negative_passages.text: What is a density function?
negative_passages.docid: 33054
negative_passages.text: Given a joint density function, what is the conditional expectation $E[Y|x]$?
negative_passages.docid: 39897
negative_passages.text: Mean and variance of a Beta distribution with $\alpha \ge 1$ or $\beta \ge 1$?
negative_passages.docid: 52395
negative_passages.text: Distribution of Product of Random Variables with one being the normal distribution.
negative_passages.docid: 83877
negative_passages.text: Distribution of the square of a non-standard normal random variable
negative_passages.docid: 31342
negative_passages.text: How can I find the distribution of a stochastic variable X^2 if X is normal standard distributed?
negative_passages.docid: 62053
negative_passages.text: 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
negative_passages.docid: 37509
negative_passages.text: Why is the probability zero for any given value of a normal distribution?
negative_passages.docid: 61101
negative_passages.text: Sum of two independent normal distributed random variables
negative_passages.docid: 67856
negative_passages.text: Normal distribution and logarithms