Zobrazeno 1 - 10
of 24
pro vyhledávání: '"William J. Studden"'
Publikováno v:
SIAM Journal on Matrix Analysis and Applications. 29:117-142
In this paper we study the connection between matrix measures and random walks with a block tridiagonal transition matrix. We derive sufficient conditions such that the blocks of the n-step block tridiagonal transition matrix of the Markov chain can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41dd7d632e5ec233585aec22722a14ff
https://doi.org/10.1137/050638230
https://doi.org/10.1137/050638230
Autor:
William J. Studden
Publikováno v:
Journal of Statistical Planning and Inference. 130:85-94
The importance of Elfving's geometrical result is illustrated by showing how his original proof can be used to prove a number of Elfving-type results without the use of equivalence theorems. It is indicated that some of the elementary equivalence the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9818108a84c6ab205685f81fc76a63e5
https://doi.org/10.1016/j.jspi.2003.05.004
https://doi.org/10.1016/j.jspi.2003.05.004
Autor:
Holger Dette, William J. Studden
Publikováno v:
Linear Algebra and its Applications. 364:33-64
A geometric approach to quadrature formulas for matrix measures is presented using the relations between the representations of the boundary points of the moment space (generated by all matrix measures) and quadrature formulas. Simple proofs of exist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa9c88dfb1c9582a0a61a02864c731b8
https://doi.org/10.1016/s0024-3795(02)00532-3
https://doi.org/10.1016/s0024-3795(02)00532-3
Autor:
Holger Dette, William J. Studden
Publikováno v:
Linear Algebra and its Applications. 345(1-3):169-193
In this paper we study the moment spaces corresponding to matrix measures on compact intervals and on the nonnegative line [0,∞). A representation for nonnegative definite matrix polynomials is obtained, which is used to characterize moment points
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dcfe3577537acad04cecd669b3905f6d
Publikováno v:
Journal of Theoretical Probability. 10:349-374
For a birth and death chain on the nonnegative integers with birth and death probabilities pi and qi≡ 1 –pi and reflecting barrier at 0, it is shown that the right tails of the probability of the first return from state 0 to state 0 are simple tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27ce3957443f54fe232f25901b5d0f92
https://doi.org/10.1023/a:1022660400024
https://doi.org/10.1023/a:1022660400024
Autor:
William J. Studden, Holger Dette
Publikováno v:
Stochastic Processes and their Applications. 64(1):17-30
We consider the class of simple random walks or birth and death chains on the nonnegative integers. The set of return probabilities P n 00 , n ⩾ 0, uniquely determines the spectral measure of the process. We characterize the class of simple random
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38029aa5a48f0b6db1ed09eccbe879f7
Autor:
Holger Dette, William J. Studden
Publikováno v:
Annals of the Institute of Statistical Mathematics. 46:389-403
For the polynomial regression model on the interval [a, b] the optimal design problem with respect to Elfving's minimax criterion is considered. It is shown that the minimax problem is related to the problem of determining optimal designs for the est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c977cebadef69bdc6bb272c2e13428fe
https://doi.org/10.1007/bf01720594
https://doi.org/10.1007/bf01720594
Publikováno v:
Journal of Statistical Planning and Inference. 32:363-384
We consider heteroscedastic linear models in which the variance of a response is an exponential or a power function of its mean. Such models have earlier been considered in Bickel (1978), Carroll and Ruppert (1982) etc. Classical as well as Bayes opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::75480b785590a7220b910a4f8b5f6780
https://doi.org/10.1016/0378-3758(92)90017-m
https://doi.org/10.1016/0378-3758(92)90017-m
Autor:
Gary C. McDonald, William J. Studden
Publikováno v:
Technometrics. 32:417-424
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24238bc6db7a825fb5bb95ac5e371971
https://doi.org/10.1080/00401706.1990.10484728
https://doi.org/10.1080/00401706.1990.10484728
Autor:
William J. Studden, Lorens A. Imhof
Publikováno v:
Ann. Statist. 29, iss. 3 (2001), 763-783
In this paper, experimental designs for a rational model, $Y = P(x)/Q(x) + \varepsilon$, are investigated, where $P(x) = \theta_0 + \theta_1 x + \dots + \theta_p x^p$ and $Q(x) = 1 + \theta_{p + 1} x + \dots + \theta_{p+q} x^q$ are polynomials and $\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae1a3ebfa80e070221cfee90b18f14c6
https://doi.org/10.1214/aos/1009210689
https://doi.org/10.1214/aos/1009210689