LEADER 03799nam 22007335 450 001 9910739406403321 005 20250312205727.0 010 $a9783642355127 010 $a3642355129 024 7 $a10.1007/978-3-642-35512-7 035 $a(CKB)2670000000371162 035 $a(EBL)1316935 035 $a(SSID)ssj0000904261 035 $a(PQKBManifestationID)11530518 035 $a(PQKBTitleCode)TC0000904261 035 $a(PQKBWorkID)10938981 035 $a(PQKB)10607968 035 $a(DE-He213)978-3-642-35512-7 035 $a(MiAaPQ)EBC1316935 035 $a(PPN)170490580 035 $a(EXLCZ)992670000000371162 100 $a20130514d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aLong-Memory Processes $eProbabilistic Properties and Statistical Methods /$fby Jan Beran, Yuanhua Feng, Sucharita Ghosh, Rafal Kulik 205 $a1st ed. 2013. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013. 215 $a1 online resource (892 p.) 300 $aDescription based upon print version of record. 311 08$a9783642355110 311 08$a3642355110 320 $aIncludes bibliographical references and indexes. 327 $aDefinition of Long Memory -- Origins and Generation of Long Memory -- Mathematical Concepts -- Limit Theorems -- Statistical Inference for Stationary Processes -- Statistical Inference for Nonlinear Processes -- Statistical Inference for Nonstationary Processes -- Forecasting -- Spatial and Space-Time Processes -- Resampling -- Function Spaces -- Regularly Varying Functions -- Vague Convergence -- Some Useful Integrals -- Notation and Abbreviations. 330 $aLong-memory processes are known to play an important part in many areas of science and technology, including physics, geophysics, hydrology, telecommunications, economics, finance, climatology, and network engineering. In the last 20 years enormous progress has been made in understanding the probabilistic foundations and statistical principles of such processes. This book provides a timely and comprehensive review, including a thorough discussion of mathematical and probabilistic foundations and statistical methods, emphasizing their practical motivation and mathematical justification. Proofs of the main theorems are provided and data examples illustrate practical aspects. This book will be a valuable resource for researchers and graduate students in statistics, mathematics, econometrics and other quantitative areas, as well as for practitioners and applied researchers who need to analyze data in which long memory, power laws, self-similar scaling or fractal properties are relevant. 606 $aStatistics 606 $aProbabilities 606 $aStatistics 606 $aBiometry 606 $aStatistical Theory and Methods 606 $aProbability Theory 606 $aStatistics in Business, Management, Economics, Finance, Insurance 606 $aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences 606 $aBiostatistics 615 0$aStatistics. 615 0$aProbabilities. 615 0$aStatistics. 615 0$aBiometry. 615 14$aStatistical Theory and Methods. 615 24$aProbability Theory. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 615 24$aStatistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences. 615 24$aBiostatistics. 676 $a519 701 $aBeran$b Jan$089109 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910739406403321 996 $aLong-Memory Processes$93552813 997 $aUNINA