Probability

This include a MEX-DLL file which is an implementation of R L Siddon's refined method by Jacob for the calculation of ray path integral in PET/CT system image reconstruction. This is based on Line Intersection Length model to calculate probability matrix elements. Inputs are the LOR number and a... Platforms: Matlab

GLDM calculates the Gray level Difference Method Probability Density Functions for the given image. This technique is usually used for extracting statistical texture features of a digital mammogram.For details on the Gray level Difference Method, refer the following paperJ. K. Kim and H. W. Park,... Platforms: Matlab

This code implements and plots the exact numerical solution of the Ornstein-Uhlenbeck process and its time integral. The numerical method here used was published by D.T. Gillespie in 1996 in the journal Physical Review E.The probability density function and its plot for the Ornstein-Uhlenbeck... Platforms: Matlab

Perform Viterbi Decoding to find the most likely path and probability of the sequence 'seq' for the system defined as follows:p is the initial state probability matrixA is the State transition matrixB is the Output matrix where possible outputs are mapped tointegers 1,2,...'end_prob' state is the... Platforms: Matlab

General implementation of matlab version of Viterbi algorithm specifically written for gene structure finding problem in mind. However, it can be modified to suit the goal of a user.Input:Transition Probability MatrixEmission Probability MatrixInitial Probability MatrixStates Matrix (ie.... Platforms: Matlab

Wigner3j(j1,j2,j,m1,m2,m) returns the Wigner 3j-symbol, where j1, j2, j, m1, m2, and m are half-integers. Physically, the Wigner 3j-symbol is closely related to the Clebsch-Gordon coefficient , the square of which is the probability that a system of two particles with angular momentum j1 and j2... Platforms: Matlab

A Dynamic environment is one in which either the obstacles or the goal or both are in motion. In most of the current research, robots attempting to navigate in dynamic environments use reactive systems. Although reactive systems have the advantage of fast execution and low overheads, the tradeoff... Platforms: Matlab

The following program is written to simulate a randomly generated message under BSC(p) channel. It examines whether or not the generator polynomial is strong enough to be used at a given packet size and crossover probability p. Error patterns are rondom. Platforms: Matlab

There are two issues with the Pearson type IV distribution: (I) the complex gamma function entering the normalization constant in the probability density function (pdf) and (II) the complex Gauss hypergeometric function entering the cumulative distribution function (cdf). For the complex gamma... Platforms: Matlab

Association rules are a simple but very useful form of data mining that describe the probabilistic co-occurrence of certain events within a database. They were originally designed to analyse market-basket data, in which the likelihood of items being purchased together within the same transaction... Platforms: Matlab

The Central Limit Theorem (CLT) states that the sample average of N i.i.d. random variables approaches the normaldistribution.This script displays the probability density function of the sample average of N i.i.d variables with respect to N. The variables can be distributed according to a chi-2,... Platforms: Matlab

Features of this implementation of LDA:- Allows for >2 classes- Permits user-specified prior probabilities- Requires only base MATLAB (no toolboxes needed)- Assumes that the data is complete (no missing values)- Has been verified against statistical software- "help LDA" provides usage and an... Platforms: Matlab

The definition of mutual information could resort to wiki:http://en.wikipedia.org/wiki/Mutual_informationFor marginal mutual information, we say it is :I(A,B)=sum sum P(A,B) log[P(A,B)/P(A)P(B)]For conditional mutual information, we say it is :I(A,B|C)=sum sum P(A,B|C)... Platforms: Matlab

This function implements bivariant Gaussian kernel density estimation. It can be used to estimate bivariant probability density function (pdf), cumulative distribution function (cdf) and inversed cdf (icdf) from a set of random data. The code is programmed in a way to be suitable for beginners to... Platforms: Matlab

To run the GUI we need to unzip the content of archive in the current Matlab Directory. Run M-file and chose to display Time Evolution versus Probability Density for fixed year and banc. Platforms: Matlab

This m-file performs the conditional as well as the Chi-squared corrected for discontinuity McNemar's exact test for two dependent (correlated) samples that can occur in matched-pair studies with a dichotomous (yes-no) response. Dependent samples can also occur when the same subject is measured... Platforms: Matlab

R = RCR(S) computes the semi-edge-length of the mean-centered hypercube with 95% probability given S, which is either a covariance matrix or a vector of standard deviations from a multivariate normal distribution. If S is a real, nonnegative vector, RCR(S) is equivalent to RCR(DIAG(S.^2)). Scalar... Platforms: Matlab

RANDPDF returns the matrix of random numbers from probability density distribution defined in p and px. p are the density (the y axis) and px are the value (the x axis) of the pdf. p and px must be of the same length. dim define the output matrix dimensions, for example dim=[100 3] define the... Platforms: Matlab

Usage: [p, Q]= chi2test(x) The chi-squared test.Given a number of samples this function tests the hypothesis that the samples areindependent. If Q > chi2(p, nu), the hypothesis is rejected. Each column represents a variables, each row a sample. If you find any errors, please let me know: .... Platforms: Matlab

LAPLACEOFPARETO evaluates the Laplace-Stietljes transform (LST) of the Paretodistribution with parameters a and b. Specifically, this function evaluatesthe LST E[exp(-sX)] of a random variable $X$ which has Pareto distribution$F(x)=1-frac{b^a}{(b+x)^a}$, where s>0, a>0, b>0. The formula used... Platforms: Matlab