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1

Ohta, Shigemi. "Self-Test Monte Carlo Method." Progress of Theoretical Physics Supplement 122 (1996): 193–200. http://dx.doi.org/10.1143/ptps.122.193.

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2

Oht, Shigemi. "Self-test Monte Carlo method." Nuclear Physics B - Proceedings Supplements 47, no. 1-3 (March 1996): 788–91. http://dx.doi.org/10.1016/0920-5632(96)00175-2.

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3

Gangur, Mikuláš, and Milan Svoboda. "Simulation of Bayes' rule by means of Monte Carlo method." Teaching Statistics 40, no. 3 (April 6, 2018): 83–87. http://dx.doi.org/10.1111/test.12158.

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4

Silva, Ivair R., and Renato M. Assunção. "Optimal generalized truncated sequential Monte Carlo test." Journal of Multivariate Analysis 121 (October 2013): 33–49. http://dx.doi.org/10.1016/j.jmva.2013.06.003.

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5

Silva, I., R. Assunção, and M. Costa. "Power of the Sequential Monte Carlo Test." Sequential Analysis 28, no. 2 (April 27, 2009): 163–74. http://dx.doi.org/10.1080/07474940902816601.

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6

Theil, Henri, J. S. Shonkwiler, and Timothy G. Taylor. "A Monte Carlo test of Slutsky symmetry." Economics Letters 19, no. 4 (January 1985): 331–32. http://dx.doi.org/10.1016/0165-1765(85)90230-7.

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7

Selvanathan, Saroja. "A Monte Carlo test of preference independence." Economics Letters 25, no. 3 (January 1987): 259–61. http://dx.doi.org/10.1016/0165-1765(87)90224-2.

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8

Piras, Gianfranco, and Nancy Lozano-Gracia. "Spatial J-test: some Monte Carlo evidence." Statistics and Computing 22, no. 1 (November 6, 2010): 169–83. http://dx.doi.org/10.1007/s11222-010-9215-y.

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9

Hunt, R. A., D. R. Dance, M. Pachoud, G. Alm Carlsson, M. Sandborg, G. Ullman, and F. R. Verdun. "Monte Carlo simulation of a mammographic test phantom." Radiation Protection Dosimetry 114, no. 1-3 (May 17, 2005): 432–35. http://dx.doi.org/10.1093/rpd/nch511.

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10

Vishnyakov, Aleksey, and Alexander V. Neimark. "Monte Carlo Simulation Test of Pore Blocking Effects." Langmuir 19, no. 8 (April 2003): 3240–47. http://dx.doi.org/10.1021/la0269107.

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11

Silva, Ivair, and Renato Assunção. "Truncated sequential Monte Carlo test with exact power." Brazilian Journal of Probability and Statistics 32, no. 2 (May 2018): 215–38. http://dx.doi.org/10.1214/16-bjps339.

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12

Harwell, Michael R. "Summarizing Monte Carlo Results in Methodological Research." Journal of Educational Statistics 17, no. 4 (December 1992): 297–313. http://dx.doi.org/10.3102/10769986017004297.

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Monte Carlo studies provide information that can assist researchers in selecting a statistical test when underlying assumptions of the test are violated. Effective use of this literature is hampered by the lack of an overarching theory to guide the interpretation of Monte Carlo studies. The problem is exacerbated by the impressionistic nature of the studies, which can lead different readers to different conclusions. These shortcomings can be addressed using meta-analytic methods to integrate the results of Monte Carlo studies. Quantitative summaries of the effects of assumption violations on the Type I error rate and power of a test can assist researchers in selecting the best test for their data. Such summaries can also be used to evaluate the validity of previously published statistical results. This article provides a methodological framework for quantitatively integrating Type I error rates and power values for Monte Carlo studies. An example is provided using Monte Carlo studies of Bartlett’s (1937) test of equality of variances. The importance of relating meta-analytic results to exact statistical theory is emphasized.
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13

Barnett, R. N., P. J. Reynolds, and W. A. Lester. "Is quantum Monte Carlo competitive? Lithium hydride test case." Journal of Physical Chemistry 91, no. 7 (March 1987): 2004–5. http://dx.doi.org/10.1021/j100291a064.

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14

Finch, Holmes, and Brian French. "A Monte Carlo Comparison of Robust MANOVA Test Statistics." Journal of Modern Applied Statistical Methods 12, no. 2 (November 1, 2013): 35–81. http://dx.doi.org/10.22237/jmasm/1383278580.

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15

Milchev, A., and K. Binder. "Droplet spreading: A Monte Carlo test of Tanner’s law." Journal of Chemical Physics 116, no. 17 (May 2002): 7691–94. http://dx.doi.org/10.1063/1.1465410.

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16

Christiansen, J. P., and J. W. Connor. "Self-consistent plasma modelling by Monte Carlo test particles." Plasma Physics and Controlled Fusion 48, no. 10 (September 22, 2006): 1551–71. http://dx.doi.org/10.1088/0741-3335/48/10/007.

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17

CONLEY, WILLIAM. "Multi-stage Monte Carlo and non-linear test problems." International Journal of Systems Science 25, no. 1 (January 1994): 155–71. http://dx.doi.org/10.1080/00207729408928950.

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18

Kovács, Balázs. "A Monte Carlo permutation test for co-occurrence data." Quality & Quantity 48, no. 2 (December 19, 2012): 955–60. http://dx.doi.org/10.1007/s11135-012-9817-x.

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19

Acquah, Henry de-Graft. "A Comparison of Bootstrap and Monte Carlo Approaches to Testing for Symmetry in the Granger and Lee Error Correction Model." Information Management and Business Review 5, no. 5 (May 30, 2013): 240–44. http://dx.doi.org/10.22610/imbr.v5i5.1048.

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In this paper, I investigate the power of the Granger and Lee model of asymmetry via bootstrap and Monte Carlo techniques. The simulation results indicate that sample size, level of asymmetry and the amount of noise in the data generating process are important determinants of the power of the test for asymmetry based on bootstrap and Monte Carlo techniques. Additionally, the simulation results suggest that both bootstrap and Monte Carlo methods are successful in rejecting the false null hypothesis of symmetric adjustment in large samples with small error size and strong levels of asymmetry. In large samples, with small error size and strong levels of asymmetry, the results suggest that asymmetry test based on Monte Carlo methods achieve greater power gains when compared with the test for asymmetry based on bootstrap. However, in small samples, with large error size and subtle levels of asymmetry, the results suggest that asymmetry test based on bootstrap is more powerful than those based on the Monte Carlo methods. I conclude that both bootstrap and Monte Carlo algorithms provide valuable tools for investigating the power of the test of asymmetry.
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20

FYE, R. M. "PROJECTOR APPROXIMATION AND QUANTUM MONTE CARLO." International Journal of Modern Physics C 05, no. 03 (June 1994): 483–88. http://dx.doi.org/10.1142/s0129183194000660.

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We derive a general approximation for performing quantum Monte Carlo simulations within a desired subspace of the full Hilbert space. We analytically determine the form of the resulting systematic error, allowing controlled extrapolation to exact results. We discuss some numerical applications, including fermion impurity and lattice models with infinite on-site Colulomb repulsion U and quantum spin systems. We demonstrate the use of the approximation in simulations with a test model.
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21

Zhou, Changxi, Jing Chen, Gerard T. Schuster, and Brackin A. Smith. "A quasi‐Monte Carlo approach to efficient 3-D migration: Field data test." GEOPHYSICS 64, no. 5 (September 1999): 1562–72. http://dx.doi.org/10.1190/1.1444660.

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The quasi‐Monte Carlo migration algorithm is applied to a 3-D seismic data set from West Texas. The field data were finely sampled at approximately 220-ft (67-m) intervals in the in‐line direction but were sampled coarsely at approximately 1320-ft (402-m) intervals in the cross‐line direction. The traces at the quasi‐Monte Carlo points were obtained by an interpolation of the regularly sampled traces. The subsampled traces at the quasi‐Monte Carlo points were migrated, and the resulting images were compared to those obtained by migrating both regular and uniform grids of traces. Results show that, consistent with theory, the quasi‐Monte Carlo migration images contain fewer migration aliasing artifacts than the regular or uniform grid images. For these data, quasi‐Monte Carlo migration apparently requires fewer than half the number of the traces needed by regular‐grid or uniform‐grid migration to give images of comparable quality. These results agree with related migration tests on synthetic data computed for point scatterer models. Our results suggest that better migration images might result from data recorded on a coarse quasi‐random grid compared to regular or uniform coarse grids.
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22

Dufek, Jan, and Ignas Mickus. "OPTIMISATION OF MONTE CARLO BURNUP SIMULATIONS." EPJ Web of Conferences 247 (2021): 04016. http://dx.doi.org/10.1051/epjconf/202124704016.

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We show here that computing efficiency of Monte Carlo burnup simulations depends on chosen values of certain free parameters, such as the length of the time steps and the number of neutron histories simulated at each Monte Carlo criticality run. The efficiency can thus be improved by optimising these parameters. We have set up a simple numerical model that made it possible for us to test a large number of combinations of the free parameters, and suggest a way to optimise their selection.
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23

Bindak, Recep. "Comparision Mann-Whitney U Test and Students’ t Test in Terms of Type I Error Rate and Test Power: A Monte Carlo Sımulation Study." Afyon Kocatepe University Journal of Sciences and Engineering 14, no. 1 (January 10, 2014): 5–11. http://dx.doi.org/10.5578/fmbd.7380.

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24

ŞAHİN, Mustafa, and Şeyma KOÇ. "MANOVA Test İstatistiklerinin Monte-Carlo Simülasyonu ile Bernoulli Dağılımında Karşılaştırılması." Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no. 3 (September 20, 2018): 1125–31. http://dx.doi.org/10.19113/sdufenbed.469282.

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25

Takemura, Akimichi, and Hisayuki Hara. "Markov chain Monte Carlo test of toric homogeneous Markov chains." Statistical Methodology 9, no. 3 (May 2012): 392–406. http://dx.doi.org/10.1016/j.stamet.2011.10.004.

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26

Reed, Christopher, and Wayne Reed. "Monte Carlo test of electrostatic persistence length for short polymers." Journal of Chemical Physics 92, no. 11 (June 1990): 6916–26. http://dx.doi.org/10.1063/1.458279.

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27

Jhun, Myoungshic, and Pui Lam Leung. "A monte carlo method for foutz's goodness-of-fit test." Journal of Statistical Computation and Simulation 29, no. 4 (June 1988): 309–16. http://dx.doi.org/10.1080/00949658808811070.

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28

Paul, Wolfgang, Kurt Binder, Dieter W. Heermann, and Kurt Kremer. "Crossover scaling in semidilute polymer solutions: a Monte Carlo test." Journal de Physique II 1, no. 1 (January 1991): 37–60. http://dx.doi.org/10.1051/jp2:1991138.

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29

Sterpin, Edmond, Jefferson Sorriaux, Kevin Souris, Stefaan Vynckier, and Hugo Bouchard. "A Fano cavity test for Monte Carlo proton transport algorithms." Medical Physics 41, no. 1 (December 18, 2013): 011706. http://dx.doi.org/10.1118/1.4835475.

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30

Belov, Dmitry I., and Ronald D. Armstrong. "Monte Carlo Test Assembly for Item Pool Analysis and Extension." Applied Psychological Measurement 29, no. 4 (July 2005): 239–61. http://dx.doi.org/10.1177/0146621605275413.

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31

Stratigopoulos, Haralampos-G., and Stephen Sunter. "Fast Monte Carlo-Based Estimation of Analog Parametric Test Metrics." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 33, no. 12 (December 2014): 1977–90. http://dx.doi.org/10.1109/tcad.2014.2360458.

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32

Forsman, Jan, and Bo Jönsson. "Monte Carlo simulations of hydrophobic interactions: A test particle approach." Journal of Chemical Physics 101, no. 6 (September 15, 1994): 5116–25. http://dx.doi.org/10.1063/1.467367.

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33

Fleissig, Adrian R., and Gerald A. Whitney. "A revealed preference test of rationing a Monte Carlo analysis." Economic Modelling 45 (February 2015): 207–11. http://dx.doi.org/10.1016/j.econmod.2014.11.016.

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34

Piepho, Hans-Peter. "A Monte Carlo Test for Variance Homogeneity in Linear Models." Biometrical Journal 38, no. 4 (1996): 461–73. http://dx.doi.org/10.1002/bimj.4710380411.

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35

Furch, Jan, and Quy Hung Nguyen. "Lifetime Test of Tracked Vehicle Torsion Bars using Monte Carlo Method." Emerging Science Journal 4, no. 5 (October 1, 2020): 376–89. http://dx.doi.org/10.28991/esj-2020-01238.

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The article deals with the service life of torsion bars in tracked vehicles. The aim of the article is to show the suitability of accelerated tests and modelling for determining the service life of torsion bars, which takes many years in real operation. The design of a test bench for accelerated tests is presented together with limiting conditions, which were afterwards verified. Subsequently, a virtual model of the torsion bar of a tracked vehicle was created with the help of finite elements. Dynamic modelling was performed by MSC Adams software with a module using finite elements. Furthermore, the article shows the possibility of using the Monte Carlo method to determine the service life of torsion bars of tracked vehicles. The Monte Carlo utility of Accelerated Life Testing Analysis (ALTA) software is used to obtain failure data at specified test stress levels. Using the Monte Carlo simulation, one data set is generated containing values that are arranged in dependence on the specific lifetime distribution of the Weibull distribution. Finally, a comparison of the experiment with the calculated values is performed. The results obtained can be used to compile an accelerated test plan. This modelling design saves a lot of money and time to determine the life of the torsion bar in tracked vehicles.
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36

Fowler, Gary W. "The use of Wald's sequential probability ratio test to develop composite three-decision sampling plans." Canadian Journal of Forest Research 15, no. 2 (April 1, 1985): 326–30. http://dx.doi.org/10.1139/x85-053.

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Many sequential sampling plans used in forest sampling are composite three-decision plans based on the simultaneous use of two of Wald's sequential probability ratio tests (SPRTs). Wald's operating characteristic (OC) and average sample number (ASN) equations for each SPRT are used to describe the properties of the composite sampling plan. Wald's equations are only approximate because of "overshooting" of the decision boundaries of the SPRTs and the two SPRTs operate simultaneously in the composite plan. Wald's and Monte Carlo OC and ASN functions were developed for (i) two SPRTs used to develop a three-decision composite plan and (ii) the three-decision composite plan based on the negative binomial distribution. Wald's equations, in general, overestimate the true error probabilities and underestimate the true ASN for a given SPRT. Wald's equations are less accurate in describing the properties of the three-decision plan. Monte Carlo functions are more accurate than Wald's functions. Recommendations are made regarding the choice between Wald's and Monte Carlo functions. A Monte Carlo procedure to modify the decision boundaries of the plan to yield actual error probabilities approximately equal to the desired error probabilities is suggested.
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37

Demazière, C., A. Tatidis, and P. Vinai. "MONTE CARLO-BASED DYNAMIC CALCULATIONS OF STATIONARY PERTURBATIONS." EPJ Web of Conferences 247 (2021): 21003. http://dx.doi.org/10.1051/epjconf/202124721003.

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Capitalizing on some earlier work, this paper presents a novel Monte Carlo-based approach that allows estimating the neutron noise induced by stationary perturbations of macroscopic cross-sections in the frequency domain. This method relies on the prior computation using Monte Carlo of modified Green’s functions associated to the real part of the dynamic macroscopic cross-sections, mimicking equivalent subcritical problems driven by external neutron sources. Once such modified Green’s functions are estimated, the neutron noise induced by any type of perturbations can be recovered, by solving a linear algebra problem accounting for the interdependence between the real and imaginary parts of the governing balance equations. The newly derived method was demonstrated on a large homogeneous test system and on a small heterogeneous test system to provide results comparable to a diffusion-based solver specifically developed for neutron noise applications. The new method requires the specification by the user of the real part of the Fourier transform of the macroscopic cross-sections. This is accomplished using ACE-formatted cross-section files defined by the user. Beyond this input data preparation, no change to the Monte Carlo source code is necessary. This represents the main advantage of the proposed method as compared to similar efforts requiring extensive modifications to the Monte Carlo source code.
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38

Harwell, Michael. "Summarizing Monte Carlo Results in Methodological Research: The Single-Factor, Fixed-Effects ANCOVA Case." Journal of Educational and Behavioral Statistics 28, no. 1 (March 2003): 45–70. http://dx.doi.org/10.3102/10769986028001045.

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Results from exact statistical theory and Monte Carlo studies have provided evidence that the test size and power of the F test in analysis of covariance are sensitive to violations of certain assumptions. However, a comprehensive summary of the effect of assumption violations has not been available. In this article, meta-analytic methods are used to summarize the results of Monte Carlo studies of the test size and power of the F test in the single-factor, fixed-effects analysis of covariance model, updating and extending narrative reviews of this literature. Monte Carlo results for the nonparametric rank-transform test in the analysis of covariance model are also analyzed. Guidelines for using these tests when assumptions are violated are presented to promote more judicious use of these procedures.
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39

Tian, Yi, and Zai-Zai Yan. "Monte Carlo method for solving a parabolic problem." Thermal Science 20, no. 3 (2016): 933–37. http://dx.doi.org/10.2298/tsci1603933t.

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In this paper, we present a numerical method based on random sampling for a parabolic problem. This method combines use of the Crank-Nicolson method and Monte Carlo method. In the numerical algorithm, we first discretize governing equations by Crank-Nicolson method, and obtain a large sparse system of linear algebraic equations, then use Monte Carlo method to solve the linear algebraic equations. To illustrate the usefulness of this technique, we apply it to some test problems.
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40

Manurung, Kiki Hariani, and Julius Santony. "Simulasi Pengadaan Barang menggunakan Metode Monte Carlo." Jurnal Sistim Informasi dan Teknologi 1, no. 3 (September 17, 2019): 7–11. http://dx.doi.org/10.35134/jsisfotek.v1i3.3.

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Inventory is a very important aspect for the development of a company. Inventory management is needed to determine the inventory of goods needed within a certain period so that market demand can be fulfilled. The data used in this study are inventory data from 2016 to 2018. Data processing in this study uses the Monte Carlo algorithm to predict procurement data. In accelerating data processing, this research applies a Web-based program with the PHP (Hypertext Processor) programming language. The results of testing this method are to obtain predictions of the supply of goods in a certain period of time with the right level of accuracy. From the test results obtained the level of accuracy in predicting inventory stock by 93% so that it can help companies in making decisions in the future.
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41

Baschnagel, J., M. Wolfgardt, W. Paul, and K. Binder. "Entropy theory and glass transition: A test by Monte Carlo simulation." Journal of Research of the National Institute of Standards and Technology 102, no. 2 (March 1997): 159. http://dx.doi.org/10.6028/jres.102.012.

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42

Tse, Y. K., V. V. Anh, and Q. Tieng. "No-cointegration test based on fractional differencing: Some Monte Carlo results." Journal of Statistical Planning and Inference 80, no. 1-2 (August 1999): 257–67. http://dx.doi.org/10.1016/s0378-3758(98)00253-5.

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43

Goel, L. "Monte Carlo simulation-based reliability studies of a distribution test system." Electric Power Systems Research 54, no. 1 (April 2000): 55–65. http://dx.doi.org/10.1016/s0378-7796(99)00066-8.

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44

Neng, Shi, Gu Jun-Qiang, Yi Yan-Ming, and Lin Zhen-Min. "An improved south Asian summer monsoon index with Monte Carlo test." Chinese Physics 14, no. 4 (March 17, 2005): 844–49. http://dx.doi.org/10.1088/1009-1963/14/4/037.

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45

Yuan, A. "Exact test of Hardy-Weinberg equilibrium by Markov chain Monte Carlo." Mathematical Medicine and Biology 20, no. 4 (December 1, 2003): 327–40. http://dx.doi.org/10.1093/imammb/20.4.327.

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46

Li, Ran, Minxian Wang, Li Jin, and Yungang He. "A Monte Carlo Permutation Test for Random Mating Using Genome Sequences." PLoS ONE 8, no. 8 (August 5, 2013): e71496. http://dx.doi.org/10.1371/journal.pone.0071496.

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47

Valladares, D., and G. Zgrablich. "A Test of the Horvath–Kawazoe Method by Monte Carlo Simulation." Adsorption Science & Technology 15, no. 1 (February 1997): 15–24. http://dx.doi.org/10.1177/026361749701500102.

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The Horvath–Kawazoe (H–K) method, which is frequently used to obtain the micropore size distributions of microporous materials, has been tested by Monte Carlo Simulation of nitrogen adsorption isotherms. The results show that the H–K method only gives good results when the microporosity is confined to a pore size lower than approximately 13 Å. In this region, although the method can predict the micropore size distribution peak with acceptable precision, it fails for wider distributions.
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48

Sariban, A., K. Binder, and D. W. Heermann. "Monte Carlo test of the Flory-Huggins theory for polymer mixtures." Physical Review B 35, no. 13 (May 1, 1987): 6873–76. http://dx.doi.org/10.1103/physrevb.35.6873.

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49

Ding, Jie, Shili Lin, and Yang Liu. "Monte Carlo Pedigree Disequilibrium Test for Markers on the X Chromosome." American Journal of Human Genetics 79, no. 3 (September 2006): 567–73. http://dx.doi.org/10.1086/507609.

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50

Ramaswamy, S., and T. Tang. "Comparison of semiconductor transport models using a Monte Carlo consistency test." IEEE Transactions on Electron Devices 41, no. 1 (1994): 76–83. http://dx.doi.org/10.1109/16.259623.

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