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  • Search: subject:"Method of conditional pgfs"
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Algorithm 1 Matrix polynomial 1 Method of conditional pgfs 1 Runs 1
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Kamalja, Kirtee 1
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On the joint distribution of success runs of several lengths in the sequence of MBT and its applications
Kamalja, Kirtee - In: Statistical Papers 55 (2014) 4, pp. 1179-1206
Let <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$X_1 ,X_2 ,\ldots ,X_n $$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <msub> <mi>X</mi> <mn>1</mn> </msub> <mo>,</mo> <msub> <mi>X</mi> <mn>2</mn> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <msub> <mi>X</mi> <mi>n</mi> </msub> </mrow> </math> </EquationSource> </InlineEquation> be a sequence of Markov Bernoulli trials (MBT) and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\underline{X}_n =( {X_{n,k_1 } ,X_{n,k_2 } ,\ldots ,X_{n,k_r } })$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <msub> <munder> <mi>X</mi> <mo>̲</mo> </munder> <mi>n</mi> </msub> <mo>=</mo> <mrow> <mo stretchy="false">(</mo> <mrow> <msub> <mi>X</mi> <mrow> <mi>n</mi> <mo>,</mo> <msub> <mi>k</mi> <mn>1</mn> </msub> </mrow> </msub> <mo>,</mo> <msub> <mi>X</mi> <mrow> <mi>n</mi> <mo>,</mo> <msub> <mi>k</mi> <mn>2</mn> </msub> </mrow> </msub> <mo>,</mo> <mo>…</mo> <mo>,</mo> <msub> <mi>X</mi> <mrow> <mi>n</mi> <mo>,</mo> <msub> <mi>k</mi> <mi>r</mi> </msub> </mrow> </msub> </mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math> </EquationSource> </InlineEquation> be a random vector...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>
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