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 | | |