Welcome to our Cauchy Distribution Calculators! These tools are designed to help you analyze probabilities and distributions associated with the Cauchy distribution. Whether you’re a student, researcher, or data analyst, our calculators simplify the process of performing statistical analyses related to the Cauchy distribution. Cauchy Distribution Calculator Cauchy Distribution Calculator For a Cauchy distribution with location […]
Read MoreChi-Square Distribution Calculator Chi-Square Distribution Calculator For \( k \) degrees of freedom, the PDF is: $$ f(x;k) = \frac{1}{2^{k/2}\Gamma(k/2)} x^{k/2-1} e^{-x/2}, \quad x\ge 0. $$ and the CDF is: $$ F(x;k) = P\Bigl(\frac{k}{2},\frac{x}{2}\Bigr) = \frac{\gamma\Bigl(\frac{k}{2},\frac{x}{2}\Bigr)}{\Gamma(k/2)}. $$ Step 1: Enter Parameters \( k \) (degrees of freedom): Enter a positive integer (e.g., 5) \( x […]
Read MoreEfficiently compute Inverse Gamma distribution parameters—mean, variance, mode, PDF, and more—with accurate online calculators ideal for Bayesian statistics and reliability engineering. Inverse Gamma Distribution Calculator Inverse Gamma Distribution Calculator For parameters \(\alpha>0\) and \(\beta>0\), the PDF is: $$ f(x;\alpha,\beta)=\frac{\beta^\alpha}{\Gamma(\alpha)}x^{-\alpha-1}e^{-\beta/x},\quad x>0. $$ and the CDF is: $$ F(x;\alpha,\beta)=1-P\Bigl(\alpha,\frac{\beta}{x}\Bigr)=\frac{\Gamma\Bigl(\alpha,\frac{\beta}{x}\Bigr)}{\Gamma(\alpha)},\quad x>0, $$ where \(P(\alpha,\beta/x)\) is the lower regularized […]
Read MoreCalculate Kumaraswamy distribution parameters—variance, mean, median, mode, and cumulative probabilities—easily and accurately with specialized online calculators. Ideal for risk assessment, hydrology, and quality control applications. Kumaraswamy Distribution Calculator Kumaraswamy Distribution Calculator For parameters \(a>0\) and \(b>0\), the PDF is: $$ f(x;a,b)=a\,b\,x^{a-1}(1-x^a)^{b-1}, \quad 0\le x\le 1. $$ and the CDF is: $$ F(x;a,b)=1-(1-x^a)^b, \quad 0\le x\le […]
Read MoreLog-normal Distribution Calculator Log-normal Distribution Calculator For parameters \(\mu\) and \(\sigma\) (with \(\sigma>0\)), the PDF is: $$ f(x) = \frac{1}{x\,\sigma\sqrt{2\pi}} \exp\Bigl(-\frac{(\ln x – \mu)^2}{2\sigma^2}\Bigr),\quad x>0. $$ and the CDF is: $$ F(x) = \frac{1}{2}\Bigl[1 + \operatorname{erf}\Bigl(\frac{\ln x – \mu}{\sigma\sqrt{2}}\Bigr)\Bigr],\quad x>0. $$ Step 1: Enter Parameters \(\mu\): Enter a real number (e.g., 0) \(\sigma\) (σ > […]
Read MoreUse our Pareto distribution calculator—a dedicated tool that computes both the probability density function (PDF) and the cumulative distribution function (CDF) of the Pareto distribution. By entering the shape parameter and scale parameter, the calculator provides key statistical measures, including the mean, variance, and skewness. It is an invaluable resource for researchers and practitioners who […]
Read MoreMatrix Calculator Matrix Calculator Select an operation and enter matrix dimensions and values to perform matrix calculations. Select Operation & Dimensions Operation: Add (A + B)Subtract (A – B)Multiply (A × B)Determinant (det A)Inverse (A⁻¹) Matrix A Dimensions: Matrix B Dimensions: Generate Matrices Matrix A: Matrix B: Compute Operation Result The computed result will be […]
Read MoreT‑Score Calculator T‑Score Calculator Calculate the T‑score using: $$ T = \frac{x – \bar{x}}{SD/\sqrt{n}}. $$ * Enter the observed value (\(x\)), sample mean (\(\bar{x}\)), standard deviation (SD), and sample size (\(n\)). Step 1: Enter Your Data Observed Value, \( x \): e.g., 100 Mean, \( \bar{x} \): e.g., 95 Standard Deviation (SD): e.g., 10 Sample […]
Read MoreOur Normal Distribution Calculator is a free online tool that displays the probability distribution for the given data set Normal Distribution Calculator Normal Distribution Calculator Enter the parameters to compute the CDF, PDF, and generate a random sample. Mean, \( \mu \): Std. Deviation, \( \sigma \): Value, \( x \): Calculate Results CDF at \( […]
Read MoreThis calculator computes the t-statistic and an approximate p-value for a one-sample t-test, comparing the sample mean to a known population mean. Note: The p-value calculation is based on a rough approximation and may not be fully accurate. For precise statistical calculations, please use standard statistical software or consult a statistician. One-Sample T-Test Calculator | […]
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