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PROBABILITY AND STATISTICS
| MANTRAKSHAR | HINDI | Symbol Name | Meaning / definition | Example |
|---|---|---|---|---|
| P(A) | प्रायिकता या संभाव्यता फलन | probability function | probability of event A | P(A) = 0.5 |
| P(A ⋂ B) | probability of events intersection | probability that of events A and B | P(A⋂B) = 0.5 | |
| P(A ⋃ B) | probability of events union | probability that of events A or B | P(A⋃B) = 0.5 | |
| {P(A vert B)} | conditional probability function | probability of event A given event B occured | P(A . B) = 0.3 | |
| f (x) | probability density function (pdf) | P(a ≤ x ≤ b) = ∫ f (x) dx | ||
| F(x) | cumulative distribution function (cdf) | F(x) = P(X≤ x) | ||
| μ | आबादी माध्य | population mean | mean of population values | μ = 10 |
| E(X) | expectation value | expected value of random variable X | E(X) = 10 | |
| E(X｜Y) | conditional expectation | expected value of random variable X given Y | E(X ｜Y=2) = 5 | |
| var(X) | प्रसरण | variance | variance of random variable X | var(X) = 4 |
| σ2 | प्रसरण | variance | variance of population values | σ2 = 4 |
| std(X) | मानक विचलन | standard deviation | standard deviation of random variable X | std(X) = 2 |
| σX | मानक विचलन | standard deviation | standard deviation value of random variable X | σX = 2 |
| median | middle value of random variable x | |||
| cov(X,Y) | सहप्रसरण | covariance | covariance of random variables X and Y | cov(X,Y) = 4 |
| corr(X,Y) | correlation | correlation of random variables X and Y | corr(X,Y) = 0.6 | |
| ρX,Y | correlation | correlation of random variables X and Y | ρX,Y = 0.6 | |
| ∑ | संकलन | summation | summation - sum of all values in range of series | |
| ∑∑ | double summation | double summation | ||
| Mo | बहुलक | mode | value that occurs most frequently in population | |
| MR | mid-range | MR = (xmax+xmin)/2 | ||
| Md | sample median | half the population is below this value | ||
| Q1 | lower / first quartile | 25% of population are below this value | ||
| Q2 | median / second quartile | 50% of population are below this value = median of samples | ||
| Q3 | upper / third quartile | 75% of population are below this value | ||
| x | sample mean | average / arithmetic mean | x = (2+5+9) / 3 = 5.333 | |
| s 2 | sample variance | population samples variance estimator | s 2 = 4 | |
| s | sample standard deviation | population samples standard deviation estimator | s = 2 | |
| zx | standard score | zx = (x-x) / sx | ||
| X ~ | distribution of X | distribution of random variable X | X ~ N(0,3) | |
| N(μ,σ2) | प्रसामान्य बंटन | normal distribution | gaussian distribution | X ~ N(0,3) |
| U(a,b) | uniform distribution | equal probability in range a,b | X ~ U(0,3) | |
| exp(λ) | exponential distribution | f (x) = λe-λx , x≥0 | ||
| gamma(c, λ) | gamma distribution | f (x) = λ c xc-1e-λx / Γ©, x≥0 | ||
| χ 2(k) | chi-square distribution | f (x) = xk/2-1e-x/2 / ( 2k/2 Γ(k/2) ) | ||
| F (k1, k2) | F distribution | |||
| Bin(n,p) | binomial distribution | f (k) = nCk pk(1-p)n-k | ||
| Poisson(λ) | Poisson distribution | f (k) = λke-λ / k! | ||
| Geom(p) | geometric distribution | f (k) = p(1-p) k | ||
| HG(N,K,n) | hyper-geometric distribution | |||
| Bern(p) | Bernoulli distribution |
Discussion