Skip to main content

Normal Distribution

 Normal distribution is one of the most important continuous probability distributions occuring in many aspects. We explore its properties and applications in this thread.

Normal distributions are symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equal. A normal distribution is perfectly symmetrical around its center. That is, the right side of the center is a mirror image of the left side.


The standard normal distribution is a normal distribution with a mean of zero and standard deviation of 1. The standard normal distribution is centered at zero and the degree to which a given measurement deviates from the mean is given by the standard deviation.


Importance of Normal Distribution 1. Many classical statistical tests are based on the assumption that the data follow a normal distribution. This assumption should be tested before applying these tests.
2. In modeling applications, such as linear and non-linear regression, the error term is often assumed to follow a normal distribution with fixed location and scale. 3. The normal distribution is used to find significance levels in many hypothesis tests and confidence intervals.







Labels:

Comments

Post a Comment

Popular posts from this blog

Marx’s Theory of Alienation

Capitalist alienation is a Marxist notion that refers to individuals' estrangement or separation from their work, the output of their labour, and each other within the capitalist mode of production. This phenomena arises from capitalism's fundamental contradictions, which result in a system in which labour is commodified and employees are reduced to mere appendages of the means of production. Capitalist alienation happens when labour is converted into a commodity that can be bought and sold on the market just like any other commodity. As a result, the labour of the worker is separated from the product, and the worker is alienated from the outcome of their labour. Furthermore, workers are cut off from their own creative potential because their job is dictated by the necessities of the capitalist system rather than their own aspirations and interests. "The alienation of man thus appeared as the fundamental evil of capitalist society.”   ―   Karl Marx , Selected Writings in...
Post a Comment
Read more

Karl Marx: On The Great Indian Revolt of 1857

Marx's observations on the Revolt of 1857 are a distinctive component to the study of modern Indian history. Marx was almost the very first to grasp the true nature of the revolt. Karl Marx wrote 31 articles about the 1857 Indian revolt from July to Oct 1857 for the American newspaper 'New York Daily Tribune (NYDT)’. Although the British called it a mutiny/uprising, Marx called 1857 'a national revolt' . When Marx began writing articles about India in the New York Times in 1853, he saw the British as India's saviours. He regarded British colonialism as a necessary evil to break Asia's sluggish economy by investing in the forces required for capitalist expansion. Marx characterized British colonization in India as the "Double Mission of the British". In the puberty, they were contributing positively by breaking down India's Asiatic mode of production, which was hampering its path to capitalism. Second, they were rejuvenating the economy in order t...
Post a Comment
Read more

Privatization in Nazi Germany

A research study was conducted by the University of Barcelona which analyzed German newspapers, media outlets and government documents from 1933 when the Nazis took power all the way to 1941. The University found that the Nazis engaged in heavy privatization of the economy and removed a lot of the public utilities and ownership that was seen under the Weimar Republic prior to the Nazis taking power. From Adam Tooze, The Wages of Destruction: The Making and Breaking of the Nazi Economy. Some examples of Nazi privatization can be seen with these different economic sectors and utilities. In an article published in the Der Deutsche Volkswirt in February 1934, Heinz Marschner proposed: This proposal was related to the Nazi government's support for returning the ownership of urban transportation back to the private sector. Several months later, Hans Baumgarten analyzed the conditions required for the re-privatization in the German banking sector. Discussion of privatization was increa...
Post a Comment
Read more