Data Deep Dive

Let  $x_1, x_2, x_3,...........,x_n$ denote the observations taken from a $Uniform \\ Distribution$ with pdf: `f(x, \theta) =   1 ; \theta …

If we consider a sequence of independent $Bernoulli  \,  Trials$ each trials has two outcomes called "success" or "failure".…

Let $r$ be the number of success resulting from $n$ independent trials with unknown success probability $p$, such that $X$ follows $Binomial$ …

The data collected on the behaviour of the parameter $\theta$ in the form of a sample $X_{1},X_{2},X_{3},...........,X_{n}$.  it is not cos…

The pdf of exponential distribution is given as  `f(x; \theta) = \frac{1}{\theta} e^{-x / \theta}, \quad x \geq 0, \, \theta > 0.` Th…

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…

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…

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…

MLE for Pareto distribution  The pdf of Pareto distribution is given by: `f(x; \alpha, \lambda) = \frac{\alpha \lambda^\alpha}{x^{\alpha+1}} \quad \…