## Nonhomogeneous Poisson Processes

Non-homogeneous Poisson process model (NHPP) represents the number of failures experienced up to time t is a non-homogeneous Poisson process {N(t), t ≥ 0}. The… Read More »

## Mathematics | Rings, Integral domains and Fields

Prerequisite – Mathematics | Algebraic Structure Ring – Let addition (+) and Multiplication (.) be two binary operations defined on a non empty set R.… Read More »

## Introduction to Mojette transform

Data can be roughly divided into two types which are discrete data and continuous data. Discrete data can only take integer values where continuous data… Read More »

## Mathematics | Generating Functions – Set 2

Prerequisite – Generating Functions-Introduction and Prerequisites In Set 1 we came to know basics about Generating Functions. Now we will discuss more details on Generating… Read More »

## Univariate, Bivariate and Multivariate data and its analysis

1. Univariate data – This type of data consists of only one variable. The analysis of univariate data is thus the simplest form of analysis… Read More »

## Proof that vertex cover is NP complete

Prerequisite – Vertex Cover Problem, NP-Completeness Problem – Given a graph G(V, E) and a positive integer k, the problem is to find whether there… Read More »

## Graph measurements: length, distance, diameter, eccentricity, radius, center

Prerequisite – Graph Theory Basics – Set 1, Set 2 A graph is defined as set of points known as ‘Vertices’ and line joining these… Read More »

## Mathematics | Law of total probability

Prerequisite – Random variables, Conditional probability Given n mutually exclusive events A1, A2, …Ak such that their probabilities sum is unity and their union is… Read More »

## Discrete Mathematics | Hasse Diagrams

A Hasse diagram is a graphical representation of the relation of elements of a partially ordered set (poset) with an implied upward orientation. A point… Read More »

## Mathematics | Walks, Trails, Paths, Cycles and Circuits in Graph

Prerequisite – Graph Theory Basics – Set 1 1. Walk – A walk is a sequence of vertices and edges of a graph i.e. if… Read More »

## Inverse functions and composition of functions

Inverse Functions – In mathematics a function, a, is said to be an inverse of another, b, if given the output of b a returns… Read More »

## Placement | Cubes

A type of cuboid in which all the sides i.e length, breadth & height are equal. All faces of cubes are of the same area.… Read More »

## Mathematics | Introduction to Proofs

Mathematical proof is an argument we give logically to validate a mathematical statement. In order to validate a statement, we consider two things: A statement… Read More »

## Mathematics | Probability

Probability refers to the extent of occurrence of events. When an event occurs like throwing a ball, picking a card from deck, etc ., then… Read More »

## Scales of Measurement

Data can be classified as being on one of four scales: nominal, ordinal, interval or ratio. Each level of measurement has some important properties that… Read More »