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Yearly Archives: 2022

Chow test

Chow test : Chow test is a statistical test used to determine whether there is a structural change in a regression model. It is commonly used in econometrics and time series analysis to determine whether a change in the underlying model has occurred, and if so, at what point the change took place. Here’s an […]

Choleski decomposition

Choleski decomposition : Choleski decomposition is a numerical method used in linear algebra to decompose a symmetric, positive definite matrix into the product of a lower triangular matrix and its transpose. This decomposition is named after AndrĂ©-Louis Choleski, who first published it in 1918. To illustrate Choleski decomposition, let’s consider the following 3×3 matrix: A […]

Choi-Williams distribution

Choi-Williams distribution : The Choi-Williams distribution is a probability distribution that is used to model the time it takes for a Poisson process to first exceed a certain threshold. In other words, it describes the time it takes for a process that is characterized by random events occurring at a constant rate to reach a […]

Chi-squared test for trend

Chi-squared test for trend : The Chi-squared test for trend is a statistical test used to determine if there is a significant relationship between two variables. This test is commonly used in the fields of sociology and psychology to examine the relationship between two categorical variables. To perform a Chi-squared test for trend, the first […]

Chi-Square Test

Chi-Square Test : The Chi-Square test is a statistical test used to compare observed data with expected data. It is commonly used to determine if there is a significant difference between the two sets of data. For example, let’s say a researcher wants to test if there is a significant difference in the number of […]

Chemometrics

Chemometrics : Chemometrics is a branch of chemistry that involves the use of mathematical and statistical techniques to analyze and interpret chemical data. It is a powerful tool that allows chemists to make sense of large and complex datasets, providing insights into the underlying chemical processes and phenomena. One of the key applications of chemometrics […]

Chaos

Chaos : Chaos refers to a state of confusion or disorder, where events seem to be random and unpredictable. It is a complex and dynamic system that can be observed in various natural and human-made phenomena. One example of chaos is seen in the weather, where small variations in temperature, pressure, and humidity can lead […]

Change Point Problems

Change Point Problems : Change point problems involve identifying shifts or discontinuities in a given data set. These shifts can occur in various forms, such as a sudden change in the mean or variance of the data, or a change in the underlying distribution of the data. One example of a change point problem is […]

Chain-binomial models

Chain-binomial models : A chain-binomial model is a mathematical tool used to model the behavior of a system over time. This model is a generalization of the classical binomial model, which is often used to model the behavior of a financial asset, such as a stock or bond, over time. The key difference between the […]

Central range

Central range : The central range in statistics is a measure of the spread of a set of data around its central value. It is calculated by taking the difference between the maximum and minimum values in a dataset and dividing by two. This measure provides important information about the dispersion of the data, which […]