# Statistical Analysis

## Murdaugh Verdict: A Bayesian Perspective

The Murdaugh verdict has been a subject of interest in recent times, with a South Carolina jury finding Alex Murdaugh guilty on two counts of first-degree murder and two counts of weapons possession during a violent crime. This article explores the case from a Bayesian perspective, providing insights into how Bayesian reasoning can be applied …

## Understanding Multivariate Probabilistic Time Series Forecasting with Informer

Time series forecasting has long been regarded as a critical component in myriad fields, ranging from finance and economics to environmental science and engineering. Accurate predictions of future observations enable businesses, researchers, and policymakers to make informed decisions, optimize resource allocation, and mitigate potential risks. However, real-world time series data often exhibit complex patterns and …

## Unveiling Asymmetric Quantile Regression in Finance

Quantile regression is an advanced statistical technique that has gained significant attention in finance due to its ability to estimate conditional quantiles. While linear regression is widely used to model the relationship between two variables, it assumes a linear relationship between the dependent variable and the predictors. However, this assumption may not hold in many …

## From Casino Games to Medical Trials: The Real-World Applications of the Central Limit Theorem

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data. The Central Limit Theorem (CLT) is a fundamental concept in statistics that underpins many statistical methods and analyses. It is a powerful tool for analyzing large datasets and predicting outcomes based on limited information. The CLT states that …

## Exploring the Effectiveness of Imbalanced Data Correction Methods in Mixed Linear Regression Models

Introduction In recent years, the amount of data collected in various fields has grown rapidly, and machine learning algorithms have become increasingly popular for analyzing such data. However, a common issue faced when working with large datasets is class imbalance, where one class in the target variable is greatly outnumbered by the other. This imbalance …

## From Outliers to Inliers: Robust Non-Parametric Regression with Median-of-Means

Regression analysis is a widely used statistical tool for predicting a continuous dependent variable based on one or more independent variables. However, traditional regression methods, such as linear and polynomial regression, can be sensitive to outliers and make incorrect predictions if the assumptions of normality and homoscedasticity are violated. To address these limitations, researchers have …

## Optimizing the Accuracy of Time Series Predictions: An Introduction to the Forward-Backward Algorithm

Introduction In today’s fast-paced world, businesses, industries, and organizations rely heavily on data-driven decision making. The ability to predict future trends and patterns in data can be incredibly valuable for forecasting and planning. One of the most important areas of data analysis is time series analysis, which involves studying and understanding sequential data over time. …