mml

Class HeavyTail.Over_x1

java.lang.Object

la.la.Value

la.la.Function

la.la.Function.Native

mml.UPModel

mml.ByPdf

mml.Continuous

mml.HeavyTail.Over_x1

All Implemented Interfaces:

java.lang.Comparable<Value>

Enclosing class:

HeavyTail

public static class HeavyTail.Over_x1
extends Continuous

A heavy-tailed, log-symmetric, everywhere differentiable, probability distribution for continuous (real-valued) X>0. No estimator has been, nor is likely to be, implemented. The fully parameterised Over_x1 Model is HeavyTail.Over_x1.M and its pdf is specified by pdf_x(x).

Nested Class Summary

Nested Classes

Modifier and Type	Class and Description
class	HeavyTail.Over_x1.M The fully parameterised Over_x1 Model; see pdf_x(x).

Nested classes/interfaces inherited from class mml.Continuous

Continuous.Bounded, Continuous.Transform, Continuous.Uniform

Nested classes/interfaces inherited from class mml.UPModel

UPModel.Est

Nested classes/interfaces inherited from class la.la.Function.Native

Function.Native.WithInverse

Nested classes/interfaces inherited from class la.la.Function

Function.Cts2Cts, Function.Cts2Cts2Cts, Function.CtsD2CtsD, Function.HasInverse, Function.Native, Function.Native2, Function.Native3

Nested classes/interfaces inherited from class la.la.Value

Value.Atomic, Value.Bool, Value.Char, Value.Chars, Value.Cts, Value.Defer, Value.Discrete, Value.Enum, Value.Inc_Or, Value.Int, Value.Lambda, Value.List, Value.Maybe, Value.Option, Value.Real, Value.Scannable, Value.Structured, Value.Triv, Value.Tuple

Field Summary

Fields inherited from class mml.UPModel

dp

Fields inherited from class la.la.Value

C, comparator, CR, E, eight, ffalse, five, fiveR, four, fourR, half, negCR, negOne, negOneR, negTenR, nilVal, nine, None, one, oneR, PI, PIby2, point01, point1, point5, point9, quarter, seven, six, ten, tenR, three, threeR, triv, ttrue, two, twoR, zero, zeroR

Constructor Summary

Constructors

Constructor and Description
Over_x1(Value t) No non-trivial problem-defining parameters; t=triv.

Method Summary

Modifier and Type	Method and Description
HeavyTail.Over_x1.M	sp2Model(double msg1, double msg2, Value sp) Given two-part message lengths msg1 & msg2, and statistical parameter sp, return a fully parameterised M-Model.
Vector	stats(boolean add, Value ss0, Value ss1) Combine sufficient statisticses 'ss0' and 'ss1' additively (add=true), or remove ss1 from ss0 (add=false).
Vector	stats(Vector ds, int lo, int hi) Sufficient statistics, ss = stats(ds,lo,hi), of elements [lo,hi) of a data-set ds; here ss = ds.[lo,hi).

Methods inherited from class mml.Continuous

transform

Methods inherited from class mml.UPModel

apply, defnParams, estimator, main, stats, stats, toString, transform

Methods inherited from class la.la.Function

bOp, fromBop, fromUop, type, uOp

Methods inherited from class la.la.Value

AoM, bOp, compareTo, cons, cts, elt, errMsg, error, force, isTuple, just, n, nElts, nlAoM, pair, print, quad, real, RTE, triple, tuple, UOE, x

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

Over_x1

public Over_x1(Value t)

No non-trivial problem-defining parameters; t=triv.

Method Detail

stats

public Vector stats(Vector ds,
                    int lo,
                    int hi)

Sufficient statistics, ss = stats(ds,lo,hi), of elements [lo,hi) of a data-set ds; here ss = ds.[lo,hi). More on stats here.

Specified by:

stats in class UPModel

stats

public Vector stats(boolean add,
                    Value ss0,
                    Value ss1)

Description copied from class: UPModel

Combine sufficient statisticses 'ss0' and 'ss1' additively (add=true), or remove ss1 from ss0 (add=false). Also see stats(ds,lo,hi).

Specified by:

stats in class UPModel

sp2Model

public HeavyTail.Over_x1.M sp2Model(double msg1,
                                    double msg2,
                                    Value sp)

Description copied from class: UPModel

Given two-part message lengths msg1 & msg2, and statistical parameter sp, return a fully parameterised M-Model. If 'this' UPModel produces a Model m, then sp2Model(m.msg1(), m.msg2(), m.statParams()) must be equivalent to m. Also see apply(sp).

Specified by:

sp2Model in class Continuous