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Dynamic Modeling and Analysis

## Dynamic Population Modeling

Dynamic population modeling is the process of developing mathematical models that can be used to measure, simulate and predict the dynamics of a given population. It is a powerful tool for understanding how populations change over time and in response to external factors such as environmental conditions, resource availability, and human activity. Dynamic population modeling […]

## Dynamic Panel Data Model

Dynamic panel data models are a subset of econometric models that examine the relationship between time-dependent variables and cross-sectional units. These models are typically used to analyze the effects of varying factors over time on individual units, such as how changes in a population’s income affect their level of well-being or how changes in government […]

## Dynamic Graphics

Dynamic graphics, also referred to as data visualization, is a type of computer-generated graphic whose visual representation is derived from data that can change over time. This method of visualizing information makes it possible to quickly identify trends and patterns in large datasets. It allows for the exploration of complex relationships between different variables and […]

## Dynamic Allocation Indices

Dynamic allocation indices are a type of financial index that provide an opportunity for investors to actively adjust the level of risk they take on in their portfolios. These indices make use of a dynamic allocation strategy which seeks to rebalance the portfolio’s asset weights in response to changing market conditions or economic outlooks. This […]

## Discrete Uniform Distribution

Discrete uniform distribution is a type of probability distribution in which all k distinct values have the same probability of occurring. A discrete uniform distribution is often represented by a set of 𝑥1, 𝑥2, 𝑥3,… , 𝑥𝑘 with equal probabilities for each value. The maximum value in this range is known as the maximum value […]

## Directional Data

Directional data is a type of data that describes the orientation or direction of an object in two dimensional space. This can be used to provide a precise description of an object’s position and movements.  Measurement of Circumference Using Directional Data Directional data is most commonly used to measure the circumference of a circle in […]

## DIP Test

A DIP test is a type of assessment used to measure the presence of multimodality in a sample. Multimodality refers to the use of multiple modes of expression, such as written language, visuals, and audio in a single presentation. The DIP test was developed by psychologist A.F. Osgood in 1962 and has been used as […]

## Dickey-Fuller Test

The Dickey-Fuller test is a statistical test used to assess the null hypothesis that a unit root is present in an autoregressive model.  History of Dickey-Fuller Test The test was developed in the early 1970s by David A. Dickey and Wayne Fuller, and has since become one of the most widely used tests for determining […]

## Chow Test

The Chow test, also known as the Chow-Feuer test, is a statistical test used to examine whether there is a significant difference in the coefficients of two different linear models or sub-models. This test can be used to compare the performance of two or more different linear models with one another.  Working of Chow Test […]

## Choleski Decomposition

Choleski decomposition is a type of factorization of a symmetric matrix that allows a straightforward solution to linear systems. It can be used to calculate the determinant, inverse and rank of the matrix, as well as its eigenvalues and eigenvectors. The Choleski decomposition uses an algorithm that factors the same symmetric matrix in lower-triangular form, […]