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Ways to solve the Gaussian Integral

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Introduction Assalamualaikum! It's been a while since my last post (approximately 7 months ago lol). A lot of things happens in the past 7 months! Started my MSc Statistics last September and now I am already in my second semester, Alhamdulillah! In this post, I will talk about a famous integral, which I am pretty sure most Maths BSc student encounter this in their first or second-year statistics course, the Gaussian Integral. I will show you two ways to solve this integral. The first method involves some calculus (which was my initial approach when I first encountered this integral back in my first year) while the second method is probably more intuitive. Before I start, let's look back at the form of this integral: \[ \int_{-\infty}^{\infty}e^{-\frac{x^2}{2}}dx\] The integral above is equal to \(\sqrt{2\pi}\). Let's us show this two different ways. I used to prefer the first method since it's just evaluating integral an...
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Finding the MLE of Multiple Linear Regression

Introduction Assalamualaikum. I am Hafiz. Firstly, Alhamdulillah this is my first ever post on blogger. I want to be productive while waiting for my graduation (and also while waiting for job opportunities lol!). Okay done talking about myself. I will post about one of the most powerful statistical methods, which is Multiple Linear Regression. The objective of this post is to compute the Maximum Likelihood Estimator of Multiple Linear Regression. Therefore, this post will be a bit theoretical sadly (but fun), and it may be boring. But for those who are interested in playing around with equations and theoretical concepts, you might find this post interesting and useful. Nonetheless, I hope you will enjoy this! Multiple Linear Regression Multiple Linear Regression is a statistical analysis method that models the relationship between one dependent variable and two or more independent variables. The primary goal of MLR is to predict...
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Brief introduction

 Hi there, my first blog! In this post, I will mostly post about Maths (Statistics) and maybe sometimes I will also post my gaming clips here!
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