The textbook confidence interval for binomial trial is given by

\(CI=\hat{p}\pm z\sqrt{\frac{\hat{p}(1-\hat{p})}{\tilde{n}}}\)
It is widely recognizedthat the actual coverage probability of the standard interval is poor for p near 0 or 1.Below are some alternatives that give a much better confidence bands

A lambda function is a anonymous function which can only have one expression. 

Basic definition

A lambda function that takes three argument a, b, c and multiply them can be written as

Cox proportional hazard model and its applications

In this blog, we will explain the Bayes rule and its applications.

Cross validation (CV) is a technique to test the effectiveness of a statistical model. To perform CV we need to keep aside a sample/portion of the data on which is do not use to train the model, later us this sample for testing/validating. Below are the few common techniques used for CV.

In this blog, we will explain how to use index in Panda dataframe

In this article, we will explain some common data structures in python

tuple

tuple is a sequence of heterogenous objects. Once created, it cannot be updated (immutable)

In this blog, we will summarize some key differences between Python 3 and Python 2.

In this blog, we will describe different ways to loop through a python container.

In this blog, we will use some real example to illustrate the factory design pattern using python

List comprehensions is a elegant way of making lists with one line of code. Consider the following example

Output

The format of list comprehension follows the format

Below is a more complex example

We will discuss some basic properties of markov chain

In this blog, we will explore some commonly used heavy tail distributions.

Principal component analysis is popular method to reduce high dimension data.

Let \(X_{i}=(x_{1i},x_{2i},...,x_{K,i}) ^{'}\) be a k-dimension vector for each  \(i=1,2,...,N\). 

In this blog, we will explain how to use *args and **kwargs in Python

YAML Ain’t Markup Language (YAML) is a human readable serialization language. It’s often used as a format for configuration files. 

A Simple Example

In Python, when you use = to assign an object to a variable, it will simply point the new variable towards the existing object. 

The difference between shallow and deep copying is only relevant for compound objects (objects that contain other objects, like lists or class instances):

In this blog, we will show you how to run regression analysis in excel