Wednesday, September 5, 2012

Some of the Greek Letters used in Statistics



Greek letters are used in mathematics, science, engineering, and other areas where mathematical notation is used as symbols for constants, special functions, and also conventionally for variables representing certain quantities.


A α (alpha)
   Alpha represents the following:
 
§  the first angle in a triangle, opposite the side A
§  one root of a quadratic equation, where β represents the other
§  the statistical significance of a result
§  the false positive rate in statistics
§  the fine structure constant in physics
§  right ascension in astrometry
§  an alpha particle (He2+)



Β β (beta)
   Beta (β) represents the following:

§  the second angle in a triangle, opposite the side B
§  one root of a quadratic equation, where α represents the other
§  the false negative rate in statistics
§  beta particle (e-)
§  ecliptic latitude in astrometry
§  sound intensity



Γ γ (gamma)
  Gamma (γ) represents the following:
           
§  the lower incomplete gamma function
  §  the third angle in a triangle, opposite the side C
  §  the heat capacity ratio in thermodynamics





Δ δ (delta)
   Delta (δ) represents the following:

§  a variation in the calculus of variations
§  the Dirac delta function
§  noncentrality measure in statistics
§  the Skorokhod integral in Malliavin calculus, a subfield of stochastic analysis
§  the Kronecker delta function



Ε ε (epsilon)
  Epsilon (ε) represents the following:


§  a random error in regression analysis
§  in set theory, the limit ordinal of the sequence 
§  expected value in probability theory and statistics
§  elasticity in economics



Ζ ζ (zeta)
   Zeta (ζ) represents the following:


§  the Riemann zeta function and other zeta functions in mathematics
§  the coefficient of viscous friction in polymer dynamics
§  the damping ratio
§  relative vertical vorticity in fluid dynamics



Η η (eta)
  Eta (η) represents the following:

§  the partial regression coefficient in statistics
§  elasticities in economics
§  the absolute vertical vorticity (relative vertical vorticity + Coriolis effect) in fluid dynamics
§  an index of refraction

Κ κ (kappa)
   Kappa (κ) represents the following:

§  the Von Kármán constant
  §  the kappa curve
  §  the condition number of a matrix in numerical analysis
  §  the connectivity of a graph in graph theory




Λ λ (lambda)
  Lambda (λ) represents the following:


  §  function expressions in the lambda calculus
   §  a general eigenvalue in linear algebra
   §  the expected number of occurrences in a Poisson distribution in probability
   §  the arrival rate in queueing theory
   §  the average lifetime or rate parameter in an exponential distribution (commonly used across statisticsphysics, and
                                        engineering)
            §  the mean or average value (probability and statistics)

Μ μ (mu)
  Mu (μ) represents the following:
  §  the Möbius function in number theory
  §  the ring representation of a representation module
  §  the population mean or expected value in probability and statistics
  §  measure in measure theory
  §  the coefficient of friction in physics



Ρ ρ (rho)
   Rho (ρ) represents the following:

   §  the radius in a polarcylindrical, or spherical coordinate system
   §  the correlation coefficient in statistics
   §  the sensitivity to interest rate in mathematical finance
   §  density (mass or charge per unit volume)




 Σ σ (sigma)
   Sigma (σ) represents the following:
    §  the sign of a permutation in the theory of finite groups
    §  the population standard deviation, a measure of spread in
                                       probability andstatistics
             §  a type of covalent bond in chemistry (sigma bond)
    §  the selection operator in relational algebra
    §  stress in mechanics
             §  electrical conductivity

Τ τ (tau)
  Tau (τ) represents the following:
§  an interval of time
§  mean lifetime
§  torque, the rotational force in mechanics
§  the elementary tau lepton in particle physics
§  the lifetime of a spontaneous emission process



Χ χ (chi)
   Chi (χ) represents the following:
§  the chi distribution in statistics (χDescription: ^2 is the more frequently encountered chi-squared distribution)
§  the chromatic number of a graph in graph theory
§  the Euler characteristic in algebraic topology
§  electronegativity in the periodic table



Ω ω (omega)
  Omega (ω) represents the following: 
         §  the first infinite ordinal
§  the set of natural numbers in set theory (although  N is more common in other areas of mathematics)
§  an asymptotically dominant quantity related to big O notation
§  in probability theory, a possible outcome of an experiment
§  angular velocity / radian frequency


By: Tito Nuevacobita Jr. 
       III-Gold

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