The world is full of uncertainty: accidents, storms, unruly financial markets, noisy communications. The world is also full of data. Probabilistic modeling and the related field of statistical ...

Introduction to probability, random processes and basic statistical methods to address the random nature of signals and systems that engineers analyze, characterize and apply in their designs. It ...

Probability, statistics, reliability and decision with applications in engineering. Probability of events, discrete and continuous random variables, probability density functions and distributions, ...

This paper considers a class of simultaneous equation models with both discrete and continuous random variables based on normally distributed latent random variables. The model set forth here contains ...

In a number of situations we are faced with the problem of determining efficient estimates of the mean and variance of a distribution specified by (i) a non-zero probability that the variable assumes ...

UPSC: Union Public Service Commission offers Mathematics as one of the Optional Subjects for the UPSC IAS Mains exams. The optional paper consists of 2 papers (Paper I and Paper II) of 250 marks each.