Characterization of the Generalized Pólya Process and its Applications

In this paper some important properties of the generalized Pólya process are derived and their applications are discussed. The generalized Pólya process is defined based on the stochastic intensity. By interpreting the defined stochastic intensity of the generalized Pólya process, the restarting property of the process is discussed. Based on the restarting property of the process, the joint distribution of the number of events is derived and the conditional joint distribution of the arrival times is also obtained. In addition, some properties of the compound process defined for the generalized Pólya process are derived. Furthermore, a new type of repair is defined based on the process and its application to the area of reliability is discussed. Several examples illustrating the applications of the obtained properties to various areas are suggested.

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On a class of multivariate counting processes

Advances in Applied Probability ◽

10.1017/apr.2016.9 ◽

2016 ◽

Vol 48 (2) ◽

pp. 443-462 ◽

Cited By ~ 7

Author(s):

Ji Hwan Cha ◽

Massimiliano Giorgio

Keyword(s):

Point Processes ◽

Dependence Structure ◽

Counting Processes ◽

New Class ◽

Marginal Process ◽

Polya Process ◽

History Of ◽

Pólya Process ◽

Important Characterization

Abstract In this paper we define and study a new class of multivariate counting processes, named `multivariate generalized Pólya process'. Initially, we define and study the bivariate generalized Pólya process and briefly discuss its reliability application. In order to derive the main properties of the process, we suggest some key properties and an important characterization of the process. Due to these properties and the characterization, the main properties of the bivariate generalized Pólya process are obtained efficiently. The marginal processes of the multivariate generalized Pólya process are shown to be the univariate generalized Pólya processes studied in Cha (2014). Given the history of a marginal process, the conditional property of the other process is also discussed. The bivariate generalized Pólya process is extended to the multivariate case. We define a new dependence concept for multivariate point processes and, based on it, we analyze the dependence structure of the multivariate generalized Pólya process.

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Characterization of a new type of mead fermented with Cannabis sativa L. (hemp)

Journal of Food Science ◽

10.1111/1750-3841.15614 ◽

2021 ◽

Author(s):

Raffaele Romano ◽

Alessandra Aiello ◽

Lucia De Luca ◽

Rosario Sica ◽

Emilio Caprio ◽

...

Keyword(s):

Cannabis Sativa ◽

New Type

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An analysis of the Pólya point process

Advances in Applied Probability ◽

10.1017/s000186780002098x ◽

1983 ◽

Vol 15 (01) ◽

pp. 39-53 ◽

Cited By ~ 1

Author(s):

Ed Waymire ◽

Vijay K. Gupta

Keyword(s):

Point Process ◽

Point Processes ◽

Critical Value ◽

General Representation ◽

Infinitely Divisible ◽

Generating Functional ◽

Representation Problem ◽

Polya Process ◽

Pólya Process ◽

Stochastic Point Processes

The Pólya process is employed to illustrate certain features of the structure of infinitely divisible stochastic point processes in connection with the representation for the probability generating functional introduced by Milne and Westcott in 1972. The Pólya process is used to provide a counterexample to the result of Ammann and Thall which states that the class of stochastic point processes with the Milne and Westcott representation is the class of regular infinitely divisble point processes. So the general representation problem is still unsolved. By carrying the analysis of the Pólya process further it is possible to see the extent to which the general representation is valid. In fact it is shown in the case of the Pólya process that there is a critical value of a parameter above which the representation breaks down. This leads to a proper version of the representation in the case of regular infinitely divisible point processes.

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On Bartlett's characterisation of the Pólya process

Advances in Applied Probability ◽

10.1017/s0001867800032122 ◽

1979 ◽

Vol 11 (02) ◽

pp. 276-277

Author(s):

F. E. Binet

Keyword(s):

Polya Process ◽

Pólya Process

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Synthesis and characterization of new type soluble poly(amide-imide)s based on 6FDA imide modified polyterephthalamides

Journal of Polymer Science Part A Polymer Chemistry ◽

10.1002/1099-0518(20010101)39:1<93::aid-pola110>3.0.co;2-j ◽

2000 ◽

Vol 39 (1) ◽

pp. 93-104 ◽

Cited By ~ 3

Author(s):

Chin-Ping Yang ◽

Ruei-Shin Chen ◽

Shin-Haur Chen

Keyword(s):

Synthesis And Characterization ◽

New Type ◽

Soluble Poly

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Univariate and multivariate stochastic comparisons and ageing properties of the generalized Pólya process

Journal of Applied Probability ◽

10.1017/jpr.2018.15 ◽

2018 ◽

Vol 55 (1) ◽

pp. 233-253 ◽

Cited By ~ 6

Author(s):

F. G. Badía ◽

C. Sangüesa ◽

Ji Hwan Cha

Keyword(s):

Intensity Function ◽

Stochastic Comparisons ◽

Polya Process ◽

Pólya Process ◽

Intensity Functions ◽

Birth Processes

Abstract In this work we consider the generalized Pólya process with baseline intensity function r and parameters α and β recently studied by Cha (2014). The aim of this work is to provide both univariate and multivariate stochastic comparisons between two generalized Pólya processes with different baseline intensity functions and the same parameters α and β for the epoch and inter-epoch times of the two processes. The comparisons are analogous to stochastic comparisons in Belzunce et al. (2001) for two nonhomogeneous Poisson or pure-birth processes with different intensity functions. Moreover, we study both univariate and multivariate ageing properties of the epoch and inter-epoch times of the generalized Pólya process.

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Characterization of a new type of molybdenum cofactor-mutant in cell cultures of Nicotiana tabacum

MGG Molecular & General Genetics ◽

10.1007/bf00332744 ◽

1984 ◽

Vol 195 (1-2) ◽

pp. 186-189 ◽

Cited By ~ 15

Author(s):

Ralf R. Mendel ◽

Roger J. Buchanan ◽

John L. Wray

Keyword(s):

Nicotiana Tabacum ◽

Cell Cultures ◽

Molybdenum Cofactor ◽

New Type

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Partial purification and characterization of an endo-α-N-acetylgalactosaminidase from the culture medium of Streptomyces sp. OH-11242

Biochemical Journal ◽

10.1042/bj2880475 ◽

1992 ◽

Vol 288 (2) ◽

pp. 475-482 ◽

Cited By ~ 30

Author(s):

I Ishii-Karakasa ◽

H Iwase ◽

K Hotta ◽

Y Tanaka ◽

S Omura

Keyword(s):

Enzyme Activity ◽

Culture Medium ◽

Gel Filtration ◽

Partial Purification ◽

Gastric Mucus ◽

Purification And Characterization ◽

Streptomyces Sp ◽

Optimum Ph ◽

New Type

For the purification of a new type of endo-alpha-N-acetylgalactosaminidase from the culture medium of Streptomyces sp. OH-11242 (endo-GalNAc-ase-S) [Iwase, Ishii, Ishihara, Tanaka, Omura & Hotta (1988) Biochem. Biophys. Res. Commun. 151, 422-428], a method for assaying enzyme activity was established. Using purified pig gastric mucus glycoprotein (PGM) as the substrate, oligosaccharides liberated from PGM were pyridylaminated, and the reducing terminal sugars of oligosaccharides larger than Gal beta 1-3GalNAc were analysed by h.p.1.c. The crude enzyme of endo-GalNAc-ase-S was prepared as an 80% (w/v) ammonium sulphate precipitate from the concentrated culture medium. The enzyme was partially purified by gel chromatofocusing and subsequent DEAE-Toyopearl chromatography. Endo-enzyme activity eluted around pI 4.8 on a gel chromatofocusing column and eluted with 0.19-0.25 M-NaCl on a DEAE-Toyopearl column. In the enzyme fraction obtained, no exo-glycosidases or proteases could be detected. The molecular mass of the enzyme was estimated as 105 kDa by gel filtration, and the optimum pH was 5.5. Endo-GalNAc-ase-S hydrolysed the O-glycosidic linkage between GalNAc and Ser (Thr) in 3H-labelled and unlabelled asialofetuin, liberating both the disaccharide (Gal beta 1-3GalNAc) and the tetrasaccharide [Gal beta 1-3 (Gal beta 1-4GlcNAc beta 1-6)GalNAc]. When endo-alpha-N-acetylgalactosaminidase from Alcaligenes sp. (endo-GalNac-ase-A) was incubated with 3H-labelled and unlabelled asialofetuin, only the disaccharide (Gal beta 1-3GalNAc) was liberated.

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Synthesis and Characterization of Foamed Cassava Starch Material

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.262.405 ◽

2012 ◽

Vol 262 ◽

pp. 405-409

Author(s):

Yang Liu ◽

Shan Shan Li ◽

Xin Yan Yang ◽

Chong Xing Huang

Keyword(s):

Reaction Time ◽

Cassava Starch ◽

Synthesis And Characterization ◽

Compression Stress ◽

Static Compression ◽

Foaming Agent ◽

New Type ◽

Analysis System ◽

Central Composite

A new-type foam composites were fabricated by baking method from a mixture of cassava starch. A central composite design was constructed using the software Statistics Analysis System 9.0 to evaluate the static compression stress of foamed material. The optimum dosages of adhesive, foaming agent, catalyst were 2.0g, 6.0g, 2.4g, respectively; reaction temperature 65°C; reaction time 16 hour.

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