HL7 Terminology (THO)
5.2.0 - Publication International flag

This page is part of the HL7 Terminology (v5.2.0: Release) based on FHIR R4. This is the current published version in its permanent home (it will always be available at this URL). For a full list of available versions, see the Directory of published versions

ValueSet: ProbabilityDistributionType

Official URL: http://terminology.hl7.org/ValueSet/v3-ProbabilityDistributionType Version: 2.0.0
Active as of 2014-03-26 Computable Name: ProbabilityDistributionType
Other Identifiers: id: urn:oid:2.16.840.1.113883.1.11.10747

No description

References

This value set is not used here; it may be used elsewhere (e.g. specifications and/or implementations that use this content)

Logical Definition (CLD)

 

Expansion

This value set contains 9 concepts

Expansion based on ProbabilityDistributionType v2.1.0 (CodeSystem)

CodeSystemDisplayDefinition
  Bhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypebeta

The beta-distribution is used for data that is bounded on both sides and may or may not be skewed (e.g., occurs when probabilities are estimated.) Two parameters a and b are available to adjust the curve. The mean m and variance s2 relate as follows: m = a/ (a + b) and s2 = ab/((a + b)2 (a + b + 1)).

  Ehttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeexponential

Used for data that describes extinction. The exponential distribution is a special form of g-distribution where a = 1, hence, the relationship to mean m and variance s2 are m = b and s2 = b2.

  Fhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeF

Used to describe the quotient of two c2 random variables. The F-distribution has two parameters n1 and n2, which are the numbers of degrees of freedom of the numerator and denominator variable respectively. The relationship to mean m and variance s2 are: m = n2 / (n2 - 2) and s2 = (2 n2 (n2 + n1 - 2)) / (n1 (n2 - 2)2 (n2 - 4)).

  Ghttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionType(gamma)

The gamma-distribution used for data that is skewed and bounded to the right, i.e. where the maximum of the distribution curve is located near the origin. The g-distribution has a two parameters a and b. The relationship to mean m and variance s2 is m = a b and s2 = a b2.

  LNhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypelog-normal

The logarithmic normal distribution is used to transform skewed random variable X into a normally distributed random variable U = log X. The log-normal distribution can be specified with the properties mean m and standard deviation s. Note however that mean m and standard deviation s are the parameters of the raw value distribution, not the transformed parameters of the lognormal distribution that are conventionally referred to by the same letters. Those log-normal parameters mlog and slog relate to the mean m and standard deviation s of the data value through slog2 = log (s2/m2 + 1) and mlog = log m - slog2/2.

  Nhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypenormal (Gaussian)

This is the well-known bell-shaped normal distribution. Because of the central limit theorem, the normal distribution is the distribution of choice for an unbounded random variable that is an outcome of a combination of many stochastic processes. Even for values bounded on a single side (i.e. greater than 0) the normal distribution may be accurate enough if the mean is "far away" from the bound of the scale measured in terms of standard deviations.

  Thttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeT

Used to describe the quotient of a normal random variable and the square root of a c2 random variable. The t-distribution has one parameter n, the number of degrees of freedom. The relationship to mean m and variance s2 are: m = 0 and s2 = n / (n - 2)

  Uhttp://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypeuniform

The uniform distribution assigns a constant probability over the entire interval of possible outcomes, while all outcomes outside this interval are assumed to have zero probability. The width of this interval is 2s sqrt(3). Thus, the uniform distribution assigns the probability densities f(x) = sqrt(2 s sqrt(3)) to values m - s sqrt(3) >= x <= m + s sqrt(3) and f(x) = 0 otherwise.

  X2http://terminology.hl7.org/CodeSystem/v3-ProbabilityDistributionTypechi square

Used to describe the sum of squares of random variables which occurs when a variance is estimated (rather than presumed) from the sample. The only parameter of the c2-distribution is n, so called the number of degrees of freedom (which is the number of independent parts in the sum). The c2-distribution is a special type of g-distribution with parameter a = n /2 and b = 2. Hence, m = n and s2 = 2 n.


Explanation of the columns that may appear on this page:

Level A few code lists that FHIR defines are hierarchical - each code is assigned a level. In this scheme, some codes are under other codes, and imply that the code they are under also applies
System The source of the definition of the code (when the value set draws in codes defined elsewhere)
Code The code (used as the code in the resource instance)
Display The display (used in the display element of a Coding). If there is no display, implementers should not simply display the code, but map the concept into their application
Definition An explanation of the meaning of the concept
Comments Additional notes about how to use the code

History

DateActionCustodianAuthorComment
2022-10-18reviseTSMGMarc DuteauFixing missing metadata; up-349
2020-05-06reviseVocabulary WGTed KleinMigrated to the UTG maintenance environment and publishing tooling.
2014-03-26revise2014T1_2014-03-26_001283 (RIM release ID)Vocabulary (Woody Beeler) (no record of original request)Lock all vaue sets untouched since 2014-03-26 to trackingId 2014T1_2014_03_26