Why do we use the Greek letter μ (Mu) to denote population mean or ...
Oct 17, 2019 · Why do we use the Greek letter μ (Mu) to denote population mean or expected value in probability and statistics Ask Question Asked 6 years, 1 month ago Modified 6 years, 1 month ago
Confidence in a range estimate, and +- 2sigma rule of thumb
@dipetkov: When I wrote "is there an observable random interval similar to 𝑋¯±𝑧𝛼/2 (𝑠/𝑛√) that includes the whole 𝜇±2𝜎 range (1−𝛼) percent of the time?", what I meant was: "is there an observable random interval …
Some questions on the Hamiltonian Monte-Carlo algorithm
To better understand the Hamiltonian Monte-Carlo algorithm I am implementing the following example: let x1,⋯,x100 x 1,, x 100 be 100 100 draws from N(10,10) N (10, 10) (σ2 = 10 σ 2 = 10). Now …
What is the covariance/correlation between - Cross Validated
Mar 4, 2020 · The special case for an unskewed distribution with zero mean (e.g., the centred normal distribution) occurs when μ = 0 μ = 0 and γ= 0 γ = 0, which gives zero covariance. Note that the …
self study - Find posterior distribution for uniform distribution ...
Sep 22, 2016 · Given X with uniform distribution in the interval [μ,μ+θ]. Suppose θ is given. Find the posterior distribution with prior distribution on your own. From that, find the Bayesian estimator with …
hypothesis testing - Type II error or no error? - Cross Validated
Aug 5, 2020 · I get stuck in the following question: You set up a two-sided hypothesis test for a population mean μ with a null hypothesis of : μ=100. You chose a significance level of α=0.05. The p …
generalized linear model - Deviance for Gamma GLM - Cross Validated
Jun 27, 2020 · In this case, the (y−μ)/μ (y μ) / μ terms will not contribute to the total deviance. Nevertheless, the terms can't be ignored entirely because they are part of the unit deviances and will …
hypothesis testing - Likelihood ratio test for $H_0: \mu_1 = \mu_2 = 0 ...
Dec 14, 2022 · Find the likelihood ratio $\Lambda$ for testing $H_0 : μ_1 = μ_2 = 0$ against all alternatives. Rewrite $\Lambda$ so that it is a function of a statistic $Z$ which has a well-known …
What does $N(x|\\mu, \\sigma^2)$ mean? - Cross Validated
Feb 18, 2020 · I know X∼ N(μ,σ2) X ∼ N (μ, σ 2) means that the random variable X follows a normal distribution with mean μ μ and variance σ2 σ 2. I'm just not sure how x|μk x | μ k changes things. …
Maximum Likelihood For the Normal Distribution
Aug 21, 2021 · 0 I get using Maximum Likelihood Estimation to find unknown parameters of a function. But in the normal distribution, we know probability density function is f (x)=1/σ√2π (e^− (x−μ)2/ …