Maximum Likelihood Estimator in exponential distribution
The pdf of exponential distribution is given as `f(x; \theta) = \frac{1}{\theta} e^{-x / \theta}, \quad x \geq 0, \, \theta > 0.` Th…
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Maximum Likelihood Estimator in Poisson Distribution
The probability density function of poisson distribution is given by `P(X = x) = \frac{\lambda^x e^{-\lambda}}{x!}, \quad x = 0, 1, 2, \ldots, \, \l…
Maximum Likelihood Estimator for Log Normal Distribution
If $X_{1}, X_{2},......X_{n} ~ LogN(\mu, \sigma^2) \tag{1}$ The pdf of log normal distribution is given by `f(x; \mu, \sigma^2) = \frac…
Maximum likelihood estimation for Normal Distribution
The pdf of Normal distribution is given by: `f(x) = \frac{1}{\sigma \sqrt{2\pi}} e^{-\frac{(x - \mu)^2}{2\sigma^2}}` Case 1: MLE for `\mu` when `\si…
Maximum likelihood estimation for Pareto observations
MLE for Pareto distribution The pdf of Pareto distribution is given by: `f(x; \alpha, \lambda) = \frac{\alpha \lambda^\alpha}{x^{\alpha+1}} \quad \…
Methods of Estimation in Statistical Inference
Statistical estimation is the cornerstone of statistical inference, enabling us to derive insights about population characteristics using sample data…
Statistical inference: Basics of statistical inference
Statistical Inference: An Overview Statistical inference refers to the process of drawing conclusions about a population based on a sample of d…
The Evolution of Cloud Computing Jobs: A Comprehensive Overview
Introduction In the digital age, cloud computing has revolutionized the way businesses and individuals store, process, and access data. As organizati…
Mastering the Art of Web Design: A Comprehensive Guide to CSS Programming Language
Introduction In the ever-evolving landscape of web development, programming languages play an important role in creating visually appealing and user-…