close all; clc; N = 1000000; % Number of samples NB =
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Question
[MATLAB]
I would like to repeat the matlab code below as an exponential distribution.
How should I do? plz answer
-------------------------------
clear all;
close all;
clc;
N = 1000000; % Number of samples
NB = 50; % Number blocks
S = 49; % Number of the sets
%% PDF
P = zeros(NB,1); % Initialization of the blocks for PDF
x = rand(N,S); % Generate S sets of uniformly distributed samples in [0,1]
x = sum(x,2);
x_mean = mean(x);
x_var = var(x);
x_std = sqrt(x_var);
x_min = floor(x_mean - 3 * x_std); % Set the minimum
x_max = ceil(x_mean + 3 * x_std); % Set the maximum
scaler = NB/6; % Heuristics
for n=1:N
ind = ceil(NB*x(n)/S);
P(ind) = P(ind) + 1;
end
pdf_sampled = (NB/N)/S * P;
x_axis = [1/(2*NB):S/NB:S*(1-1/(2*NB))];
figure(1)
subplot(2,1,1);
bar(x_axis, pdf_sampled, 'BarWidth', 1);
axis_range = [x_min x_max 0.0 2.0];
axis(axis_range);
hold on;
grid on;
title(sprintf('PDF from the sampled data with %d samples.', N));
%% CDF
C = zeros(NB,1); % Initialization of the blocks for CDF
for n=1:NB
%ind = ceil(NB*x(n)/S);
C(n) = sum(P(1:n,1)/NB);
end
cdf_sampled = (NB/N) * C;
x_axis = [1/(2*NB):S/NB:S*(1-1/(2*NB))];
x_range = [x_min-2*x_std x_max+2*x_std];
axis_range = [x_range 0.0 1.5];
figure(1)
subplot(2,1,2);
bar(x_axis, cdf_sampled, 'BarWidth', 1);
axis(axis_range);
hold on;
grid on;
title(sprintf('CDF from the sampled data with %d samples.', N));
%% Built-in Function
x = linspace(x_min, x_max, N);
pdf_builtin = normpdf(x, x_mean, x_std); % Gaussian density pdf
figure(1)
subplot(2,1,1)
plot(x, pdf_builtin,'LineWidth',2)
cdf_builtin = normcdf(x, x_mean, x_std); % Gaussian density cdf
figure(1)
subplot(2,1,2)
plot(x, cdf_builtin,'LineWidth',2)
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