Independent Events in a Discrete Uniform Probability Space

1987 ◽  
Vol 41 (1) ◽  
pp. 52 ◽  
Author(s):  
Bennett Eisenberg ◽  
B. K. Ghosh
Keyword(s):  
Probability Space ◽  
Independent Events ◽  
Uniform Probability ◽  
Discrete Uniform

scholarly journals Finite Dimensional Approximations to Some Flows on the Projective Limit Space of Spheres

1966 ◽  
Vol 28 ◽  
pp. 167-177
Author(s):  
Hisao Nomoto
Keyword(s):  
Probability Distribution ◽  
Probability Space ◽  
Essential Role ◽  
Projective Limit ◽  
Dimensional Sphere ◽  
Basic Space ◽  
Limit Space ◽  
Finite Dimensional ◽  
Uniform Probability ◽  
Uniform Probability Distribution

Let Ω be the projective limit space of a sequence of probability space Ωn which is a certain subset of (n − 1)-dimensional sphere with the usual uniform probability distribution on it. T. Hida [2], starting from a sequence of finite dimensional flows which are derived from some one-parameter subgroups of rotations of spheres, constructed a flow {Tt} on Ω as the limit of them. Observing his method, the concept of consistency of flows which approximate {Tt} seems to play an essential role in his work [2]. As will be made clear in the following sections, the concept of consistency is closely related to the projective limiting structure of our basic space Ω. The purpose of this paper is to determine all the flows on Ω which can be approximated in the sense of [2] by finite dimensional flows.

scholarly journals Theory of Probabilistic Connectedness

2020 ◽  
Author(s):  
Yu-Lin Chou
Keyword(s):  
Limit Theorems ◽  
Probability Space ◽  
Present Theory ◽  
Substantial Part ◽  
Fundamental Theory ◽  
Independent Events ◽  
Suitable Sense ◽  
Random Elements ◽  
Natural Counterpart

We introduce and study a notion of probabilistic connectedness, which we term $proconnectedness$, defined in terms of partitions of a probability space into two nonempty disjoint independent events. Both proconnectedness and disproconnectedness are shown to be invariants (in a suitable sense) under isomorphic random elements. We show that a substantial part of the fundamental theory of topological connectedness admits a natural counterpart in the present theory of proconnectedness. Some applications and connections regarding limit theorems, cardinality equality of measurability structures, atomic distributions, and singular distributions are discussed.

Fishing Cat Prionailurus viverrinus Bennett, 1833 (Carnivora: Felidae) distribution and habitat characteristics in Chitwan National Park, Nepal

2018 ◽  
Vol 10 (11) ◽  
pp. 12451-12458 ◽  
Author(s):  
Rama Mishra ◽  
Khadga Basnet ◽  
Rajan Amin ◽  
Babu Ram Lamichhane
Keyword(s):  
National Park ◽  
Buffer Zone ◽  
Camera Trap ◽  
Habitat Characteristics ◽  
Oxbow Lakes ◽  
River Floodplains ◽  
Independent Events ◽  
Awareness Programs ◽  
Chitwan National Park ◽  
Threaten Species

The Fishing Cat is a highly specialized and threatened felid, and its status is poorly known in the Terai region of Nepal.  Systematic camera-trap surveys, comprising 868 camera-trap days in four survey blocks of 40km2 in Rapti, Reu and Narayani river floodplains of Chitwan National Park, were used to determine the distribution and habitat characteristics of this species.  A total of 19 photographs of five individual cats were recorded at three locations in six independent events.  Eleven camera-trap records obtained during surveys in 2010, 2012 and 2013 were used to map the species distribution inside Chitwan National Park and its buffer zone.  Habitat characteristics were described at six locations where cats were photographed.  The majority of records were obtained in tall grassland surrounding oxbow lakes and riverbanks.  Wetland shrinkage, prey (fish) depletion in natural wetlands and persecution threaten species persistence.  Wetland restoration, reducing human pressure and increasing fish densities in the wetlands, provision of compensation for loss from Fishing Cats and awareness programs should be conducted to ensure their survival.  We also recommend studying genetic diversity of sub-populations, as well as habitat use by radio-tagging. 

scholarly journals Some results on the span of families of Banach valued independent, random variables

1991 ◽  
Vol 14 (2) ◽  
pp. 381-384
Author(s):  
Rohan Hemasinha
Keyword(s):  
Banach Space ◽  
Probability Space ◽  
Linear Span ◽  
Random Variables ◽  
Isomorphic Copy ◽  
Independent Random Variables ◽  
Closed Linear Span

LetEbe a Banach space, and let(Ω,ℱ,P)be a probability space. IfL1(Ω)contains an isomorphic copy ofL1[0,1]then inLEP(Ω)(1≤P<∞), the closed linear span of every sequence of independent,Evalued mean zero random variables has infinite codimension. IfEis reflexive orB-convex and1<P<∞then the closed(in LEP(Ω))linear span of any family of independent,Evalued, mean zero random variables is super-reflexive.

scholarly journals Genomic Organization and Characterization of the white Locus of the Mediterranean Fruitfly, Ceratitis capitata

Genetics ◽  
2001 ◽  
Vol 157 (3) ◽  
pp. 1245-1255 ◽  
Author(s):  
L M Gomulski ◽  
R J Pitts ◽  
S Costa ◽  
G Saccone ◽  
C Torti ◽  
...  
Keyword(s):  
Ceratitis Capitata ◽  
Dna Encoding ◽  
Cloning And Sequencing ◽  
Deletion Event ◽  
Exon 2 ◽  
Independent Events ◽  
White Locus ◽  
Primary Amino ◽  
Organizational Patterns

Abstract An ∼14-kb region of genomic DNA encoding the wild-type white eye (w+) color gene from the medfly, Ceratitis capitata has been cloned and characterized at the molecular level. Comparison of the intron-exon organization of this locus among several dipteran insects reveals distinct organizational patterns that are consistent with the phylogenetic relationships of these flies and the dendrogram of the predicted primary amino acid sequence of the white loci. An examination of w+ expression during medfly development has been carried out, displaying overall similarity to corresponding studies for white gene homologues in Drosophila melanogaster and other insects. Interestingly, we have detected two phenotypically neutral allelic forms of the locus that have arisen as the result of an apparently novel insertion or deletion event located in the large first intron of the medfly white locus. Cloning and sequencing of two mutant white alleles, w1 and w2, from the we,wp and M245 strains, respectively, indicate that the mutant conditions in these strains are the result of independent events—a frameshift mutation in exon 6 for w1 and a deletion including a large part of exon 2 in the case of w2.

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