# Mathematics

### Poisson Distribution in Statistics

A random variable X is said to follow Poisson distribution, if it follows the following probability distribution function. Poisson distribution is a discrete probability distribution. It models the following types of problems Find out number …

### Binomial Distribution in Statistics

Let X be a random variable, it is said to follow binomial distribution if it follows the following probability mass function. And it can have only non-negative values. The binomial distribution is a discrete probability…

### Uniform Distribution

Uniform Distribution or Rectangular Distribution Uniform distribution or rectangular distribution is a continuous probability distribution. Definition- A random variable X is said to follow uniform or rectangular distribution it follows the following probability distribution function….

### Central Limit Theorem and Normal Distribution

Why is normal distribution is important? To understand the question you have to go through the Central Limit Theorem. Central Limit Theorem According to central limit theorem if X1, X2, X3,……Xn are random variables…

### Correlation in Statistics

Correlation Correlation measures  the relation between two variables  that how they are related.  And is denoted by r and  ρ moreover, the correlation quantifies the level of relationship between -1 to +1. If the value…

### Standard Deviation, Variance and Covariance

Standard Deviation Variance and Covariance Standard deviation, variance and covariance have very important applications in machine learning and data science. Further, they are closely related to each other. In feature reduction techniques, such as PCA…

### Skewness and Kurtosis

Skewness and Kurtosis- Introduction- Skewness and Kurtosis are very important  concepts in statistics and have several applications.  In addition, they characterize the nature of data distribution which make data analysis easier. Moreover, I will separately…

### Measures of Central Tendency : Mean, Median and Mode

Measures of central tendency in statistics  refers to a value which characterizes all the the data.  Mean, median and mode are very important measures of central tendency. Measures of central tendency is very fundamental in…

### Frequency Distribution in Statistics

Frequency distribution  in statistics refers to a graph or table which depicts or illustrate the occurrences of values. Frequency distribution is very important in study of statistics, machine learning and data science area.  To  understand…

### CSIR-NET Syllabus for Mathematical Sciences

CSIR-UGC National Eligibility Test (NET) for Junior Research Fellowship and Lecturer-ship COMMON SYLLABUS FOR PART ‘B’ AND ‘C’ MATHEMATICAL SCIENCES UNIT –  1 Analysis: Elementary set theory, finite, countable and uncountable sets, Real number system…