Publications by Shovan Biswas
SVD EigenValues and MatrixInverse Computation
SVD EigenValues and MatrixInverse Computation SVD EigenValues and MatrixInverse Computation Load Packages Problem Set 1 Problem Set 2 Shovan Biswas 2020/02/20 Load Packages library(knitr) library(matlib) Problem Set 1 Answer: I’ll first code the matrix A and its transpose (will call it A_T), in the following code chunk. A <- matrix(c(1...
2422 sym R (3759 sym/33 pcs) 2 img
Probability and Areas Under Curve
Probability and Areas Under Curve Probability and Areas Under Curve Load Packages Problem Set Shovan Biswas 2020/02/24 Load Packages library(knitr) library(matlib) Problem Set Choose independently two numbers B and C at random from the interval [0, 1] with uniform density. Prove that B and C are proper probability distributions. Note that...
2821 sym R (473 sym/15 pcs) 4 img
Vector Spaces - Dimension
Vector Spaces - Dimension Vector Spaces - Dimension Load Packages Problem Statement Shovan Biswas 2020/02/04 Load Packages library(knitr) Problem Statement The problem C37, selected from page 329 of “A First Course in Linear Algebra”, by Robert A. Bleezer. Find the rank and nullity of the matrix A = 3 2 1 1 1 2 3 0 1 1 -1 1 2 1 0 1...
755 sym R (336 sym/5 pcs)
Probability and Combinatorics
Probability and Combinatorics Probability and Combinatorics Load Packages Problem Set Shovan Biswas 2020/03/02 Load Packages library(knitr) library(matlib) Problem Set The answers are in the following pages. Marker: 605-06 ...
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Conditional Probability and Combinatorics
Conditional Probability and Combinatorics Conditional Probability and Combinatorics Load Packages Problem Statement Shovan Biswas 2020/03/02 Load Packages library(knitr) Problem Statement Problem 26 selected from page 153 of “Introduction to Probability”, by Charles M. Grinstead and J. Laurie Snell. The answers are in the following pag...
368 sym R (14 sym/1 pcs) 1 img
Markov Chains and Random Walks
Markov Chains and Random Walks Markov Chains and Random Walks Load Packages Problem Statement Shovan Biswas 2020/03/31 Load Packages library(knitr) Problem Statement 2020 being a election year, I chose a problem relevant to election. Problem 2, page 413. Marker: 605-10_d ...
282 sym R (14 sym/1 pcs) 1 img
Markov Chain
Markov Chain Markov Chain Load Packages Problem 1 Shovan Biswas 2020/03/30 Load Packages library(knitr) library(matlib) Problem 1 Smith is in jail and has 1 dollar; he can get out on bail if he has 8 dollars. A guard agrees to make a series of bets with him. If Smith bets A dollars, he wins A dollars with probability .4 and loses A dollar...
1041 sym R (697 sym/5 pcs)
Regression Models
Regression Models Regression Models Problem Statement LOad Packages Answer: Shovan Biswas 2020/04/13 Problem Statement Using the “cars” dataset in R, build a linear model for stopping distance as a function of speed and replicate the analysis of your textbook chapter 3 (visualization, quality evaluation of the model, and residual analys...
1943 sym R (2061 sym/13 pcs) 3 img
Regression Models
Regression Models Regression Models Problem Statement LOad Packages Question 1: Question 2: Question 3: Question 4: Question 5: Shovan Biswas 2020/04/20 Problem Statement The attached who.csv dataset contains real-world data from 2008. The variables included follow. Country: name of the country LifeExp: average life expectancy for the coun...
4047 sym R (4696 sym/21 pcs) 2 img
Baby Weights
Baby Weights Baby Weights Shovan Biswas 2020/04/13 Baby weights, Part I. (9.1, p. 350) The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. Here, we study the relationship between...
8688 sym R (1155 sym/19 pcs) 2 img