# LanternD's Castle

## Find the Expectation of a Symmetric Probabiliry Density Function

2017-10-18

If the PDF is symmetric about c, show that E(X)=c. This is a homework problem for course STT802-002 Theory of Probabilities and Statistics I in MSU.

## STT 861 Theory of Prob and STT I Lecture Note - 6

2017-10-11

Hypergeometric distribution; Poisson Law; Brownian motion; continous random variables, exponential distribution, cumulative distribution function, uniform distribution; expectation and variance of continuous random variable.

## STT 861 Theory of Prob and STT I Lecture Note - 5

2017-10-04

Sample mean and sample variance, biased and unbiased estimation; covariance, Hypergeometric distribution and its example; correlation coefficients; discrete distribution, Poisson distribution, Poisson approximation for the Binomial distribution.

## STT 861 Theory of Prob and STT I Lecture Note - 4

2017-09-27

Expectation and its theorems, Geometry distribution, Negative Binomial distribution and their examples; Theorem of linerarity, PMF of a pair of random variables, Markov's inequality; variance and its examples, uniform distribution.

## STT 861 Theory of Prob and STT I Lecture Note - 3

2017-09-20

Random variable, independent random variable and their examples; Bernoulli distribution, Binomial distribution.

## STT 861 Theory of Prob and STT I Lecture Note - 2

2017-09-13

Some of the basic probability and statistics concepts. joint probabilities, combinatories; conditional probabilities and independence and their examples; Bayes' rule.

## STT 861 Theory of Prob and STT I Lecture Note - Overview

2017-09-06

This is the lecture note that I took on the lecture. This post serve as the overview of this series.

## RFIC - Microstrip Transmission Line Design

2016-10-04

Microstrip transmission line is one of the basic type of transmission line in RF integrated circuit. Here is a basic/simple design example of it. This is a homework for course ECE810 RF Integrated Circuits in MSU.

## Adaptive Control - Least-Squares Algorithm in Parameters Estimation

2016-09-08

Parameter estimation is one of the keystones in Adaptive control; the main idea of parameter estimation is to construct a parametric model and then use optimization methods to minimize the error between the true parameter and the estimation. Least-square algorithm is one of the common optimization methods.

## Try MathJax Here

2016-09-06

MathJax is a commonly-used web-based math formula and expression render tool. Here is the test of it.

## Yet Another New Start

2015-05-01

Blog migration again.