33,434 Result(s)
within
** Chung
-
Chapter
Strong Markov property
To begin with, we assume that the M. C. {x t , t∈T} is Borel measurable. Using the notation of § 8, we may define a family of random variables {ξ t ...
-
Chapter
Discrete approximations
In what sense and how well do the discrete skeletons Cs approximate the M. C. C as s ↓0 ? We have already seen on several occasions, notably in Theorems 10.2 and 10.4, that results about a d. p. M. C. can be used...
-
Chapter
Taboo probability functions
We proceed to develop the continuous parameter analogue of the theory of taboo probabilities given in § I.9. While the intuitive content is easily seen the formal details must be treated with caution and the m...
-
Chapter
Post-exit process
Perhaps the most interesting case of the strong Markov property which has been studied so far is that where the optional random variable is an exit time from a stable state. In contrast to the case of an entra...
-
Chapter
The two systems of differential equations
Let us recall the dual equations: if qi<∞,
3.5 bis $$ p'_{ij} \left( {s + t} \right) = \sum\limits_k {p'_{ik} } \lef... -
Chapter
The first infinity
We return to the M.C. {x t , t∈T} which is assumed to be well-separable and Borel measurable. Furthermore we assume that for each i, q i , > 0 a...
-
Chapter
Transition probabilities
On the probability triple (Ω, ℱ, P) let an arbitrary sequence of random variables {x n , n≧0} be given. The Borel field generated by this sequence of random variables will be den...
-
Chapter
Recurrence
For further classification of the states we must introduce new quantities. To employ a vivid language we shall say that the M. C. {x n } is in the state i at the time n or at the...
-
Chapter
The moments of first entrance time distributions
If f ij * =1, then the sequence {f ij (n) ...
-
Chapter
The main limit theorem
We shall give in this section a complete determination of the limit or limits of p ij (n) as n → ∞, for every i and j. ...
-
Chapter
System theorems
In the following we shall frequently put $$x(t,\omega ) = x_t (\omega ).$$
-
Chapter
Repetitive pattern and renewal process
This section is a digression. Its purpose is to establish the equivalence of several notions in current usage.
-
Chapter
Ergodic theorems
We are now ready to resume the study of S n . The first term Y′(n) in the dissection formula (14.3) is simple; the second is the sum of a random number l(n) — 1 of independent, i...
-
Article
Synthesis of L-Methionyl-L-Glutamyl-L-Histidyl-L-Phenylalanyl-L-Arginyl-L-Tryptophyl-Glycine and its Melanocyte-stimulating and Corticotropin-releasing Activity
THE occurrence of the heptapeptide, L-methionyl-L-glutamyl-L-histidyl- L-phenylalanyl-L-arginyl-L-tryptophyl-glycine, in both adrenocorticotropins (ACTH) and melanotropins (MSH)1–3 has led to synthesis of various...
-
Article
Methoxyflurane (penthrane): a laboratory and clinical study
Methoxyflurane is a new fluorinated and chlorinated saturated asymmetrical ether whose outstanding physical properties are an unusually high boiling point and the fact that it is non-flammable in anaesthetic c...
-
Article
Use of Tetrazolium Compounds in Oxidative Enzyme Histo- and Cyto- chemistry
A NEW tetrazolium salt previously synthesized has been evaluated for its ability to overcome the technical and theoretical barriers of either the MTT-Co (ref. 1) or nitro-BT methods2,3. This compound is TNBT or 2...
-
Article
Einstein ’s connection in terms of* g λμ
The solution of Einstein ’s equation in terms of the tensorg λμ has been given byHlavatý, Mishra, andTonnelat in various forms. The main purpose of the present paper is to obtain the explicitly expressed tensoria...
-
Article
Acute leukemic infiltration of the small bowel diagnosed by suction biopsy
A case of acute lymphoblastic leukemia presenting with abdominal symptoms is reported. Diffuse leukemic infiltration of the small bowel was suggested by the small-bowel X-rays and confirmed through jejunal bio...
-
Article
On the boundary theory for Markov chains
-
Chapter and Conference Paper
Koordinations Verbindungen von Phosphino — und Amino-Boranen Sowie von Borazolderivaten
Polymere Phosphinoborane (X2B-PR2)n (X = H, R, Cl, Br, n = 2, 3, 4) enthalten Bor und Phosphor der Koordinationszahl 4 und sind deshalb als Liganden zum Aufbau von Komplexverbindungen ungeeignet, es sei denn, es ...
