Imported Upstream version 1.72.0

[platform/upstream/boost.git] / libs / math / doc / distributions / pareto.qbk

diff --git a/libs/math/doc/distributions/pareto.qbk b/libs/math/doc/distributions/pareto.qbk
index 7584d53..fcc7eee 100644 (file)
--- a/libs/math/doc/distributions/pareto.qbk
+++ b/libs/math/doc/distributions/pareto.qbk
@@ -29,10 +29,10 @@ The [@http://en.wikipedia.org/wiki/pareto_distribution Pareto distribution]
 is a continuous distribution with the
 [@http://en.wikipedia.org/wiki/Probability_density_function probability density function (pdf)]:
 
-f(x; [alpha], [beta]) = [alpha][beta][super [alpha]] / x[super [alpha]+ 1]
+[expression f(x; [alpha], [beta]) = [alpha][beta][super [alpha]] / x[super [alpha]+ 1]]
 
-For shape parameter [alpha][space] > 0, and scale parameter [beta][space] > 0.
-If x < [beta][space], the pdf is zero.
+For shape parameter [alpha] > 0, and scale parameter [beta] > 0.
+If x < [beta], the pdf is zero.
 
 The [@http://mathworld.wolfram.com/ParetoDistribution.html Pareto distribution]
 often describes the larger compared to the smaller.
@@ -46,10 +46,8 @@ And this graph illustrates how the PDF varies with the shape parameter [alpha]:
 
 [graph pareto_pdf2]
 
-
 [h4 Related distributions]
 
-
 [h4 Member Functions]
 
    pareto_distribution(RealType scale = 1, RealType shape = 1);
@@ -85,15 +83,15 @@ If probability is near to unity (or the complement of a probability near zero) s
 
 [h4 Implementation]
 
-In the following table [alpha][space] is the shape parameter of the distribution, and
-[beta][space] is its scale parameter, /x/ is the random variate, /p/ is the probability
+In the following table [alpha] is the shape parameter of the distribution, and
+[beta] is its scale parameter, /x/ is the random variate, /p/ is the probability
 and its complement /q = 1-p/.
 
 [table
 [[Function][Implementation Notes]]
 [[pdf][Using the relation: pdf p = [alpha][beta][super [alpha]]/x[super [alpha] +1] ]]
-[[cdf][Using the relation: cdf p = 1 - ([beta][space] / x)[super [alpha]] ]]
-[[cdf complement][Using the relation: q = 1 - p = -([beta][space] / x)[super [alpha]] ]]
+[[cdf][Using the relation: cdf p = 1 - ([beta] / x)[super [alpha]] ]]
+[[cdf complement][Using the relation: q = 1 - p = -([beta] / x)[super [alpha]] ]]
 [[quantile][Using the relation: x = [beta] / (1 - p)[super 1/[alpha]] ]]
 [[quantile from the complement][Using the relation: x =  [beta] / (q)[super 1/[alpha]] ]]
 [[mean][[alpha][beta] / ([beta] - 1) ]]
@@ -110,7 +108,7 @@ and its complement /q = 1-p/.
 * Handbook of Statistical Distributions with Applications, K Krishnamoorthy, ISBN 1-58488-635-8, Chapter 23, pp 257 - 267.
 (Note the meaning of a and b is reversed in Wolfram and Krishnamoorthy).
 
-[endsect][/section:pareto pareto]
+[endsect] [/section:pareto pareto]
 
 [/
   Copyright 2006, 2009 John Maddock and Paul A. Bristow.