# zbMATH — the first resource for mathematics

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 Documents Indexed: 96 Publications since 1983
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#### Serials

 12 Bulletin of the Iranian Mathematical Society 10 Statistics & Probability Letters 6 Communications in Statistics. Theory and Methods 4 Journal of Applied Probability 4 Stochastic Analysis and Applications 4 Computational Statistics 3 Rocky Mountain Journal of Mathematics 3 Journal of Time Series Analysis 3 Journal of Statistical Computation and Simulation 3 Stochastic Processes and their Applications 3 Georgian Mathematical Journal 2 Teoriya Veroyatnosteĭ i eë Primeneniya 2 Theory of Probability and its Applications 2 Journal of Multivariate Analysis 2 Metron 2 Probability and Mathematical Statistics 2 Statistics 2 Journal of Applied Mathematics and Stochastic Analysis 2 Statistical Inference for Stochastic Processes 2 Iranian Journal of Science and Technology. Transaction A: Science 2 REVSTAT 2 Journal of Applied Probability and Statistics 1 Journal of Mathematical Analysis and Applications 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Journal of Statistical Planning and Inference 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Acta Mathematica Hungarica 1 Pakistan Journal of Statistics 1 Statistical Papers 1 Journal of Mathematical Sciences (New York) 1 Journal of Applied Statistical Science 1 International Mathematical Journal 1 Stochastic Models 1 Advances in Data Analysis and Classification. ADAC 1 Journal of the Iranian Statistical Society JIRSS
all top 5

#### Fields

 71 Probability theory and stochastic processes (60-XX) 46 Statistics (62-XX) 7 Functional analysis (46-XX) 6 Numerical analysis (65-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX)

#### Citations contained in zbMATH Open

52 Publications have been cited 193 times in 113 Documents Cited by Year
Prediction of stable processes: Spectral and moving average representations. Zbl 0528.60035
Cambanis, Stamatis; Soltani, A. Reza
1984
Extrapolation and moving average representation for stationary random fields and Beurling’s theorem. Zbl 0537.60045
Soltani, A. Reza
1984
Weakly periodic sequences of bounded linear transformations: A spectral characterization. Zbl 0978.47020
Soltani, A. R.; Shishebor, Z.
1999
Reward processes for semi-Markov processes: Asymptotic behaviour. Zbl 0942.60084
Soltani, A. Reza; Khorshidian, K.
1998
Discrete time periodically correlated Markov processes. Zbl 0991.60057
Nematollahi, A. R.; Soltani, A. R.
2000
On distribution of randomly ordered uniform incremental weighted averages: divided difference approach. Zbl 1241.62015
2012
Periodically correlated autoregressive Hilbertian processes. Zbl 1247.60051
Soltani, A. R.; Hashemi, M.
2011
Periodograms asymptotic distributions in periodically correlated processes and multivariate stationary processes: An alternative approach. Zbl 1107.62100
Soltani, A. R.; Azimmohseni, M.
2007
A spectral representation for weakly periodic sequences of bounded linear transformations. Zbl 0918.47015
Soltani, A. Reza; Shishebor, Z.
1998
Weighted averages with random proportions that are jointly uniformly distributed over the unit simplex. Zbl 1161.62003
Soltani, A. R.; Homei, H.
2009
Moving average representations for multivariate stationary processes. Zbl 1150.62051
2006
Simulation of real-valued discrete-time periodically correlated Gaussian processes with prescribed spectral density matrices. Zbl 1150.62059
Soltani, A. R.; Azimmohseni, M.
2007
On the expected number of real zeros of certain Gaussian random polynomials. Zbl 1027.60051
Rezakhah, S.; Soltani, A. R.
2003
On infinite dimensional discrete time periodically correlated processes. Zbl 1140.60019
Soltani, A. R.; Shishebor, Z.
2007
Simple random measures and simple processes. Zbl 1110.60053
Soltani, A. R.; Parvardeh, A.
2006
Inference on periodograms of infinite dimensional discrete time periodically correlated processes. Zbl 1178.62106
Soltani, A. R.; Shishebor, Z.; Zamani, A.
2010
Reward processes with nonlinear reward functions. Zbl 0867.60079
Soltani, A. Reza
1996
Time domain interpolation algorithm for innovations of discrete time multivariate stationary processes. Zbl 1161.60315
2009
Forward moving average representation in multivariate MA(1) processes. Zbl 1188.62273
2010
A class of discrete distributions induced by stable laws. Zbl 1169.60303
Soltani, A. R.; Shirvani, A.; Alqallaf, F.
2009
A characterization and moving average representation for stable harmonizable processes. Zbl 0857.60037
Nikfar, M.; Soltani, A. Reza
1996
A generalization for two-sided power distributions and adjusted method of moments. Zbl 1282.62030
Soltani, A. R.; Homei, H.
2009
Periodically correlated modeling by means of the periodograms asymptotic distributions. Zbl 1416.62518
Nematollahi, A. R.; Soltani, A. R.; Mahmoudi, M. R.
2017
On regularity of certain stable processes. Zbl 0915.60056
Nikfar, M.; Soltani, A. R.
1997
Local time for stable moving average processes: Hölder conditions. Zbl 0914.60051
Dozzi, Marco; Soltani, A. Reza
1997
On covariance generating functions and spectral densities of periodically correlated autoregressive processes. Zbl 1107.62099
Shishebor, Z.; Nematollahi, A. R.; Soltani, A. R.
2006
Prediction for reward processes. Zbl 1209.60025
Soltani, A. R.; Khorshidian, K.; Ghafaripour, A.
2010
Asymptotic distribution for periodograms of infinite dimensional discrete time periodically correlated processes. Zbl 1244.60038
Shishebor, Z.; Soltani, A. R.; Zamani, A.
2011
Truncated stable random variables characterization and simulation. Zbl 1224.65007
Soltani, A. R.; Shirvani, A.
2010
Exchangeable stable random vectors and their simulations. Zbl 0970.68188
2000
On dispersion of stable random vectors and its application in the prediction of multivariate stable processes. Zbl 0815.60037
1994
A characterization theorem for stable random measures. Zbl 0996.60012
Soltani, A. R.
2000
Expected number of real zeros of Lévy and harmonizable stable random polynomials. Zbl 0968.60050
Rezakhah, S.; Soltani, A. R.
2000
Hilbert spaces formed by strongly harmonizable stable processes. Zbl 0984.60058
Soltani, A. R.; Tarami, B.
2001
An algorithm to interpolate noise in second order stationary sequences. Zbl 1019.62087
Soltani, A. R.; Yaghmaee, F.
2001
An alternative cluster detection test in spatial scan statistics. Zbl 1320.62120
Soltani, A. R.; Aboukhamseen, S. M.
2015
On regularity of homogeneous random fields. Zbl 0512.60025
Salehi, H.; Soltani, A. Reza
1983
On spectral domain of periodically correlated processes. Zbl 1151.60016
Makagon, A.; Miamee, A. G.; Salehi, H.; Soltani, A. R.
2008
Estimating stationary components of spectrums of discrete time evolutionary processes. Zbl 1231.62170
Soltani, A. R.; Khalafi, M.
2003
On thresholds of moving averages with given on-target significant levels. Zbl 1133.62074
Soltani, A. R.; Al-Awadhi, S. A.; Al-Shemeri, W. M.
2007
On continuity of the Pearson statistic and sample quantiles. Zbl 1100.62004
Al-Jarallah, R. A.; Soltani, A. R.; Al-Kandari, N. A.
2006
Exact formulas for the moments of the first passage time of reward processes. Zbl 1139.60340
Parham, G. A.; Soltani, A. R.
2005
A class of continuous kernels and Cauchy type heavy tail distributions. Zbl 1463.62029
Soltani, A. R.; Tafakori, L.
2013
Local nondeterminism for moving average stable processes. Zbl 0778.60029
Soltani, A. Reza
1992
Asymptotic behavior of multivariate reward processes with nonlinear reward functions. Zbl 1031.60078
Khorshidian, K.; Soltani, A. R.
2002
On simulating exchangeable sub-Gaussian random vectors. Zbl 1116.62366
2004
Hilbertian spatial periodically correlated first order autoregressive models. Zbl 1414.62402
Haghbin, H.; Shishebor, Z.; Soltani, A. R.
2014
On the asymptotic behavior of randomly weighted averages. Zbl 1329.60044
Roozegar, Rasool; Soltani, A. R.
2015
Simulation of real discrete time Gaussian multivariate stationary processes with given spectral densities. Zbl 1330.62352
Azimmohseni, M.; Soltani, A. R.; Khalafi, M.
2015
Semi-Markov and reward fields. Zbl 1323.60117
Soltani, A. R.; Ghasemi, H.
2014
First order autoregressive periodically correlated model in Banach spaces: existence and central limit theorem. Zbl 1375.60016
Parvardeh, A.; Mohammadi Jouzdani, N.; Mahmoodi, S.; Soltani, A. R.
2017
Forward moving average representations for MA processes of finite order: multivariate stationary and periodically correlated. Zbl 1398.62242
2014
Periodically correlated modeling by means of the periodograms asymptotic distributions. Zbl 1416.62518
Nematollahi, A. R.; Soltani, A. R.; Mahmoudi, M. R.
2017
First order autoregressive periodically correlated model in Banach spaces: existence and central limit theorem. Zbl 1375.60016
Parvardeh, A.; Mohammadi Jouzdani, N.; Mahmoodi, S.; Soltani, A. R.
2017
An alternative cluster detection test in spatial scan statistics. Zbl 1320.62120
Soltani, A. R.; Aboukhamseen, S. M.
2015
On the asymptotic behavior of randomly weighted averages. Zbl 1329.60044
Roozegar, Rasool; Soltani, A. R.
2015
Simulation of real discrete time Gaussian multivariate stationary processes with given spectral densities. Zbl 1330.62352
Azimmohseni, M.; Soltani, A. R.; Khalafi, M.
2015
Hilbertian spatial periodically correlated first order autoregressive models. Zbl 1414.62402
Haghbin, H.; Shishebor, Z.; Soltani, A. R.
2014
Semi-Markov and reward fields. Zbl 1323.60117
Soltani, A. R.; Ghasemi, H.
2014
Forward moving average representations for MA processes of finite order: multivariate stationary and periodically correlated. Zbl 1398.62242
2014
A class of continuous kernels and Cauchy type heavy tail distributions. Zbl 1463.62029
Soltani, A. R.; Tafakori, L.
2013
On distribution of randomly ordered uniform incremental weighted averages: divided difference approach. Zbl 1241.62015
2012
Periodically correlated autoregressive Hilbertian processes. Zbl 1247.60051
Soltani, A. R.; Hashemi, M.
2011
Asymptotic distribution for periodograms of infinite dimensional discrete time periodically correlated processes. Zbl 1244.60038
Shishebor, Z.; Soltani, A. R.; Zamani, A.
2011
Inference on periodograms of infinite dimensional discrete time periodically correlated processes. Zbl 1178.62106
Soltani, A. R.; Shishebor, Z.; Zamani, A.
2010
Forward moving average representation in multivariate MA(1) processes. Zbl 1188.62273
2010
Prediction for reward processes. Zbl 1209.60025
Soltani, A. R.; Khorshidian, K.; Ghafaripour, A.
2010
Truncated stable random variables characterization and simulation. Zbl 1224.65007
Soltani, A. R.; Shirvani, A.
2010
Weighted averages with random proportions that are jointly uniformly distributed over the unit simplex. Zbl 1161.62003
Soltani, A. R.; Homei, H.
2009
Time domain interpolation algorithm for innovations of discrete time multivariate stationary processes. Zbl 1161.60315
2009
A class of discrete distributions induced by stable laws. Zbl 1169.60303
Soltani, A. R.; Shirvani, A.; Alqallaf, F.
2009
A generalization for two-sided power distributions and adjusted method of moments. Zbl 1282.62030
Soltani, A. R.; Homei, H.
2009
On spectral domain of periodically correlated processes. Zbl 1151.60016
Makagon, A.; Miamee, A. G.; Salehi, H.; Soltani, A. R.
2008
Periodograms asymptotic distributions in periodically correlated processes and multivariate stationary processes: An alternative approach. Zbl 1107.62100
Soltani, A. R.; Azimmohseni, M.
2007
Simulation of real-valued discrete-time periodically correlated Gaussian processes with prescribed spectral density matrices. Zbl 1150.62059
Soltani, A. R.; Azimmohseni, M.
2007
On infinite dimensional discrete time periodically correlated processes. Zbl 1140.60019
Soltani, A. R.; Shishebor, Z.
2007
On thresholds of moving averages with given on-target significant levels. Zbl 1133.62074
Soltani, A. R.; Al-Awadhi, S. A.; Al-Shemeri, W. M.
2007
Moving average representations for multivariate stationary processes. Zbl 1150.62051
2006
Simple random measures and simple processes. Zbl 1110.60053
Soltani, A. R.; Parvardeh, A.
2006
On covariance generating functions and spectral densities of periodically correlated autoregressive processes. Zbl 1107.62099
Shishebor, Z.; Nematollahi, A. R.; Soltani, A. R.
2006
On continuity of the Pearson statistic and sample quantiles. Zbl 1100.62004
Al-Jarallah, R. A.; Soltani, A. R.; Al-Kandari, N. A.
2006
Exact formulas for the moments of the first passage time of reward processes. Zbl 1139.60340
Parham, G. A.; Soltani, A. R.
2005
On simulating exchangeable sub-Gaussian random vectors. Zbl 1116.62366
2004
On the expected number of real zeros of certain Gaussian random polynomials. Zbl 1027.60051
Rezakhah, S.; Soltani, A. R.
2003
Estimating stationary components of spectrums of discrete time evolutionary processes. Zbl 1231.62170
Soltani, A. R.; Khalafi, M.
2003
Asymptotic behavior of multivariate reward processes with nonlinear reward functions. Zbl 1031.60078
Khorshidian, K.; Soltani, A. R.
2002
Hilbert spaces formed by strongly harmonizable stable processes. Zbl 0984.60058
Soltani, A. R.; Tarami, B.
2001
An algorithm to interpolate noise in second order stationary sequences. Zbl 1019.62087
Soltani, A. R.; Yaghmaee, F.
2001
Discrete time periodically correlated Markov processes. Zbl 0991.60057
Nematollahi, A. R.; Soltani, A. R.
2000
Exchangeable stable random vectors and their simulations. Zbl 0970.68188
2000
A characterization theorem for stable random measures. Zbl 0996.60012
Soltani, A. R.
2000
Expected number of real zeros of Lévy and harmonizable stable random polynomials. Zbl 0968.60050
Rezakhah, S.; Soltani, A. R.
2000
Weakly periodic sequences of bounded linear transformations: A spectral characterization. Zbl 0978.47020
Soltani, A. R.; Shishebor, Z.
1999
Reward processes for semi-Markov processes: Asymptotic behaviour. Zbl 0942.60084
Soltani, A. Reza; Khorshidian, K.
1998
A spectral representation for weakly periodic sequences of bounded linear transformations. Zbl 0918.47015
Soltani, A. Reza; Shishebor, Z.
1998
On regularity of certain stable processes. Zbl 0915.60056
Nikfar, M.; Soltani, A. R.
1997
Local time for stable moving average processes: Hölder conditions. Zbl 0914.60051
Dozzi, Marco; Soltani, A. Reza
1997
Reward processes with nonlinear reward functions. Zbl 0867.60079
Soltani, A. Reza
1996
A characterization and moving average representation for stable harmonizable processes. Zbl 0857.60037
Nikfar, M.; Soltani, A. Reza
1996
On dispersion of stable random vectors and its application in the prediction of multivariate stable processes. Zbl 0815.60037
1994
Local nondeterminism for moving average stable processes. Zbl 0778.60029
Soltani, A. Reza
1992
Prediction of stable processes: Spectral and moving average representations. Zbl 0528.60035
Cambanis, Stamatis; Soltani, A. Reza
1984
Extrapolation and moving average representation for stationary random fields and Beurling’s theorem. Zbl 0537.60045
Soltani, A. Reza
1984
On regularity of homogeneous random fields. Zbl 0512.60025
Salehi, H.; Soltani, A. Reza
1983
all top 5