# Statistics

Statistical analysis solves complicated problems that create a big impact across the fields.

## Exponential Distribution and Applications

Exponential Distribution and Applications, In the realm of probability and statistics, the exponential distribution, also known as the negative exponential distribution, plays a significant role in describing the time between events in a Poisson process. This distribution is essential in various fields such as engineering, economics, and natural sciences, where understanding the occurrence of events […]

## Chi-Square Distribution and p value

Chi-Square Distribution and p value, Understanding Chi-Square Statistics and Shaded Regions in Tables In various statistical analyses, tables often display chi-square (χ²) statistics to represent the differences between observed and expected values. The shaded region in these tables signifies the column indexes and holds significance in interpreting the results. The chi-square distribution is a probability

## Black-Scholes Model: A Comprehensive Guide

Black-Scholes Model: A Comprehensive Guide to Option Pricing in Financial Markets, Black-Scholes Model, named after its developers Fischer Black, Robert Merton, and Myron Scholes, is a widely recognized and influential mathematical tool used to determine the fair price of European call options. Developed in 1973, this model has been instrumental in shaping the modern financial

## ANOVA in Statistical Analysis

ANOVA in Statistical Analysis, Analysis of Variance (ANOVA) is a statistical method used by researchers and analysts to evaluate the potential difference between a scale-level dependent variable and a nominal-level independent variable with two or more categories. Developed by Sir Ronald Fisher in 1918, ANOVA extends the capabilities of t-test and z-test, which can only

## Adjusted R-Square in Statistics

Adjusted R-Square in Statistics, In the realm of statistical analysis, linear regression models play a pivotal role in understanding the relationship between dependent and independent variables. Two crucial metrics that help assess the performance of these models are R-squared (R2) and Adjusted R-squared (Adjusted R2). Both these measures evaluate the goodness of fit of a

## Examples of Independent and Paired Samples

Examples of Independent and Paired Samples in the field of research, comparing groups is a common practice to understand the effectiveness of interventions, treatments, or programs. Independent and paired samples are two statistical comparison methods used to analyze data from both observational and experimental studies. These approaches help researchers understand the relationship between variables by