chloeloloblue

Normal Distribution

A data set can be characterised by its mean value and spread. Mean is also called the expectation of the data and can be computed by the sum of the “weighted” unique values: The f(x) is the PMF or PDF of x, showing the possibility of getting each x value. If f(x) is a uniformContinue reading “Normal Distribution”

Beta Distribution

Binomial distribution requires the knowledge of the probability for obtaining the desirable outcome in each trial (p). However, in real life, this parameter needs to be inferred from data. The foundation of statistics is inference, that is to figure out the probability from observations. Beta distribution shows probabilities of a continuous range of probabilities (variableContinue reading “Beta Distribution”

Bayesian for parameter estimation and A/B test

There are two drugs that are applied to equal amount of patients. We obtained two sets of data for each corresponding drug indicating its effectiveness (e.g. how long each patient survived without symptom). We want to know which drug is more effective. Furthermore, we want to assess how much more effective the winner drug isContinue reading “Bayesian for parameter estimation and A/B test”

Bayesian Statistics for Beginner

Bayesian Statistics is about how to use data to update your belief. It is not about how to use data to prove or support your hypothesis. Bayesian statistics lets people to combine their prior knowledges with observations to disagree or update with their beliefs in a quantitative way. The core of Bayesian thinking is theContinue reading “Bayesian Statistics for Beginner”

Binomial Distribution

Binomial Distribution describes probabilities of getting a number of successful trials (variable, k) within a fixed total number of trials (constant parameter, n), given the probability of one successful trial is known and fixed (constant parameter, p) (B(k; n, p)). Each trial in binomial distribution, as described above, is a Bernoulli event that can onlyContinue reading “Binomial Distribution”

Probability and Probability Distribution

Probability captures how strong, or how uncertain, we believe in the world. It is a natural extension of logic (absolute believes, binaries). The probability for an event to occur lies between 0 and 1 (rule No.1). Probability can be calculated as the proportion of number of desirable events over the total number of events. ForContinue reading “Probability and Probability Distribution”

One thing that empowers everything else you do

I once worked in a research laboratory not far from where I lived. One day, I was so tired, but there was a complicated experiment planned for the afternoon. I decided to go back home to have a nap before the experiment. That was the best decision I have ever made. I still remember theContinue reading “One thing that empowers everything else you do”

Breakfast

When I was little, in primary school, my classmates and I needed to take turns to the school kitchen to fetch our class’ breakfast. The kitchen was at the end of the playground. It was inside a very dimly lit bungalow, with simple types of furniture, and a plain earth floor. The food was simple:Continue reading “Breakfast”

果子的故事：2

果子最远的记忆是很小的时候，住全托幼儿园，一天晚上阿姨把被子发错了。果子清楚的记得那时的伤心，因为果子的被子是爸爸盖过的被子，有爸爸的味道。果子知道在漫长的一周里，晚上只有爸爸的味道可以陪伴她。

果子的故事：1

星期六和果子妈打电话的时候，果子哭了。
说到小果子的教育问题，果子妈说小果子应该读一些励志的书籍。小果子今年6岁。在学校过的单纯快乐。前几天回家告诉果子今天的单词听写，她考了零。果子妈有些担心。