This paper presents different recursive formulas for computing the marginals and the normalizing constant of a Gibbs distribution <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$\pi $$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mi mathvariant="italic">π</mi> </math> </EquationSource> </InlineEquation>. The common thread is the use of the underlying Markov properties of such processes. The procedures are illustrated with several examples,...</equationsource></equationsource></inlineequation>

This paper (i) discusses the combined <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$\bar x$</EquationSource> </InlineEquation> and conforming run length (CRL) charts under the assumption that the quality characteristic under study follows a Gamma(ν, γ, ß) distribution with known parameters ν, γ and ß, (ii) examines the performance of the combined <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$\bar x$</EquationSource> </InlineEquation> and CRL...</equationsource></inlineequation></equationsource></inlineequation>