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Shanbhag D.N. (ed.), Rao C.R. (ed.) — Stochastic Processes - Modelling and Simulation
Shanbhag D.N. (ed.), Rao C.R. (ed.) — Stochastic Processes - Modelling and Simulation



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Название: Stochastic Processes - Modelling and Simulation

Авторы: Shanbhag D.N. (ed.), Rao C.R. (ed.)

Аннотация:

Handbook of Statistics 21

This is a sequel to volume 19 of Handbook of Statistics on Stochastic Processes: Modelling and Simulation. It is concerned mainly with the theme of reviewing and in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value theory, applications of Markov chains, modelling with Monte carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. (A complete list of the topics addressed in the volume is available from the "Contents" of the volume.)


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2003

Количество страниц: 1000

Добавлена в каталог: 23.06.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Neighborhood system, 8-neighborhood      481
Neighborhood system, nearest      480
Neighborhood system, order of      481
Neighborhood, nearest      479 481
Neighborhood, shape of      481
Nested fractal      393 396
Nested logistic distribution      670 671
Nile River water levels      118
Non-Gaussian      829 830
Non-homogeneous J-X process      545
Non-homogeneous Markov chain      545
Non-homogeneous Markov kernel      545
Non-homogeneous Markov kernel Q      544
Non-homogeneous Markov renewal process(es)      544 545
Non-homogeneous semi-Markov process      544 545
Non-linear models      827 834 838 846 847 849
Non-recursive algorithm      884 923
Non-stationary time series      625 630
Nonexchangeability      654
Nonexchangeable      659
Nonhomogeneous Poisson process      559
Nonlinear      830 847—850
Nonlinear canonical correlation      841
Nonlinear canonical correlation analysis      840 841
Nonlinear dynamical systems      830
Nonlinear predictors      847
Nonlinear processes      851
Nonlinear system      836
Nonlinear time series      827 843 847 851
Nonlinear time series models      835
Nonlinear, long range memory      851
Nonlinear, nonstationary models      851
Nonlinearity      827 847 848 850
Nonnegative primitive matrix      783
Nonstationarity      850
Nonstationary      847—849
Nonstationary bilinear models      850
Nonstationary models      827
Nonstationary process      850
Normal approximation      59
Normal SMP      529 537
Normalized clique potential      488
Nuclear reactor noise      833
Null recurrent      538 539
Number of copies of a fixed graph      61
Numerical integration      887
Numerical inversion of generating functions      412
Numerical inversion of Laplace transforms      410
Objective function      474
Okazaki fragments      154
Open set condition      381 383
Open-time      937 939
Open-time, total      942 943 947 953 954
Optimal control problem      7
Optimal cost function      10
Optimization-based approach      500
Ordering of labels      476
Ordering of sites      476
Original distribution(s)      776 777
Ornstein — Uhlenbeck process(es)      864 678
Output process(es)      558—561 563
p-max stable      610
p-variate normal distribution      652
Packing dimension      375
Parameter estimation      321 322
Partial differential equation      391
Partition function      485
Patch clamp      931
Pattern of ESSs      64
Pattern(s)      227 232 236 237 431 485
Pattern(s), first occurrence      452
Pattern(s), number of      440 448 452
Penultimate approximation(s)      616 653
Percolation model      385 392
Periodic state      537
Permutation matrices      844
Perron — Frobenius eigenvalue      783
Perron — Frobenius theorem      782
Persistent process      98
Perturbation expansion      346
Phase distributions      939
Phase transition      60 70 79 82
Phase-type distributions      425
Piecewise deterministic processes      4
Planets      795
Point process characterization      624 637 638 641 642
Point processes      795
Point spread function      816
Poisson approximation(s)      59 237
Poisson distribution(s)      236 663 781 785
Poisson process      558 559 561 564 625 631 638 639 642 796 798 806 807 816
Poisson random variable      778 787
Policy iteration      14
Polynomial distribution(s)      659 662
Positive recurrent      538 539 540
Positive recurrent state      537
Positive stable distribution      663
Positivity      483
Power method      416
Power series distribution      788 790 791
Power study      206
Prediction      874 883 885 888 890 894 919 924
Preliminary data      878
Preventive maintenance actions      30
Preventive maintenance control      19
Principal component analysis      840 841
Prior, smoothness      493
Probability of a Hamilton cycle      61 80 84
Probability of connectedness      61
Probability of extinction      695
Product of fractals      379
Production control      19
Projection of fractals      379
Proteins      77
Pseudo-likelihood      964
QBD      425 426
QBD process      419
Quadratic integral statistics      197
Quality-of-Service (QoS)      243 244 260 262 263 266—268 274 280—282
Quantile processes      634
Quasi birth-and-death process      419 425
Quasi-filter      904
Quasi-renewal equation      158
Quasi-smoother      904
Queuing process      625 632
r-largest order statistics      607 623 624
Radiation      796
Random events      227 235 237
Random field      477 483
Random geometric graph      65
Random graph process      52
Random graphs      51
Random graphs on the circle      69
Random graphs with prescribed degrees      83
Random hypergraphs      82
Random infinite graphs      85
Random intersection graph      54
Random interval graphs      80
Random lifts of graphs      85
Random numbers      228
Random planar graphs      83
Random randomly coloured graphs      55 72
Random recursive fractals      383
Random regular graphs      84
Random subgraphs of the cube      81
Random sum, geometric      952 953
Random sweep      340 353 357
Random tree(s)      84 383 384
Random triangle model      71
Random walk(s)      625 631
Random-cluster model      54
Rao — Blackwellized empirical estimator      348 349
Rao — Rubin (k) conditions      783
Rao — Rubin condition      776
Rao — Rubin theorem      786
Rate (s) of convergence      607 612—617 623 624 652 653
Rayleigh processes      679
Record values      620
Recurrent      539
Recurrent events      228 230
Recurrent state      537
Recursive algorithm      883 923
Reed — Frost      63
Reed — Frost model      292 293 734 735
Regeneration theory      632
Regression property      570
Regular semi-Markov process      526 527
Regular SMP      528 537
Regularly varying functions      613
Rejection method      640
Rejection sampling      897 921
Reliability      238 239 551 552 933 935
Reliability classification of distributions      176
Reliability estimation      553
Reliability estimator      554
Reliability theory      240
Renewal equation      156
Renewal function      537
Renewal output process      563
Renewal process      536 545 634
Renormalization map      395
Repetitions      230
Replication accuracy of molecular chains      716
Resampling      893
Residual life plot      622
Resistor network      394
Resource limitation      754
Restoration      963
Restricted graph processes      78
Restricted random graph processes      52
Return level(s)      613 619 622 623
Return period      619 625
Reversibility      932 936
Reversible      965
RRC graph(s)      54 55
runs      227 228 238
Runs, overlapping success      461
Scaling exponent      93
Scaling function      95
Seasonal adjustment model      876
Second moment method      57
Second-order covariances      841
Second-order spectral density      828
Second-order stationarity      837
Second-order stationary      837
Seismic signals      835
Selection effect      817
Self-decomposability      579
Self-similar nonstationary process      633
Self-similar process      93
Self-similar set(s)      380 393
Self-similarity parameter      93
Semi-Markov kernel      516—518 523—526 528 529 532 533 536 547
Semi-Markov matrix      532 533
Semi-Markov process      516 525 526 528 529 535 540 543
Semi-Markov random walk      545
Sequences      235
Shanbhag’s lemma      777 782
Shanbhag’s theorem      782
Shift operator      533
Shift space      381 383
Short memory      851
Shot noise process      633
Simulation      285 388 391
Site, image lattice      475
Site, regular/irregular      475—483
Slice sampler      339
Slices of fractals      379 380
SLOSS debate      744 753
Small world graphs      82
Smoothing      874 884 886 889 891 895 898 902 905 920 925
Smoothness      493
Smoothness term, membrane      494
Smoothness term, plate      495
Smoothness term, rod      495
Smoothness term, string      494
Soil      401
Space-time      795 799 819 820
Spacings      173
Spatial models      301
Spatial models, diffusion processes      306—308
Spatial models, percolation processes      301—304 308 310
Spatial point processes      797
Spatio-temporal discrete variate process      602
Spectral density function      831
Spectral dimension      392 398
Spectral measure      343
Spectral representation      652
Spectrum      96 343
Spiral arms of galaxies      795
Spurious regression      827 847
Stable process      390
Standard normal distribution      657 677
Stars      795
State-space model      874 919
Stationary bilinear models      851
Stationary measures      786
Stellar eclipses      795
Step function      800
Stochastic chemistry      138
Stochastic models      137
Stochastic processes      285
Stochastic variance models      882
Stochastic volatility model      882 907
Strange attractors      819
Strauss process      see “Multi-level logistic”
String overlaps      232
String(s)      232 233 237
Strong Markov property      536
Strong unimodality      568
Sub-Markov kernel      517
Subdifferential      24
Subgraph problem in RIC graphs      74
Substitution sampler      339
Success run(s)      433 458
Success run(s) of fixed length      432 449
Success run(s) of length at least k      432 439 463
Success run(s) of length exactly k      432 440 451
Success run(s) of length exactly k overlapping      432 438
Success run(s), multivariate distributions      457
Success run(s), non-overlapping      432 436 449 458
Successive approximation      14
Superdifferential      24
Supernova      797
Survival distribution(s)      775 116 781
Survival of genes      703
Taboo distributions      535
Taboo transition probabilities      535
Talagrand’s method      58
Telomere sequences      718
Temperature      485
Temporal point process      795
Tests for Gaussianity and linearity      834
Theoretical burst      952 959
Third-order covariances      841
Third-order moments      842
Threshold for k-GML      77
Threshold theorem      291—296 305 307
thresholds      52
Time dependent coefficients      851
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