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1

Chern, Jyh-Long, and Timothy Chi Chow. "Nonstationary characteristic of probability association in chaos." Physics Letters A 192, no. 1 (1994): 34–42. http://dx.doi.org/10.1016/0375-9601(94)91011-1.

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2

Uehara, Erica, and Tetsuo Deguchi. "Characteristic length of the knotting probability revisited." Journal of Physics: Condensed Matter 27, no. 35 (2015): 354104. http://dx.doi.org/10.1088/0953-8984/27/35/354104.

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3

Baran-Gurgul, Katarzyna. "EXCEEDANCE PROBABILITY OF CHARACTERISTIC FLOWS IN POLAND." Acta Scientiarum Polonorum Formatio Circumiectus 22, no. 4 (2023): 23–36. http://dx.doi.org/10.15576/asp.fc/2023.22.4.16.

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4

Kwon, Dawoon, and Junghwan Song. "Computing the Differential Probability of a Word-Based Block Cipher." Cryptography 9, no. 2 (2025): 42. https://doi.org/10.3390/cryptography9020042.

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Differential cryptanalysis is one of the fundamental cryptanalysis techniques to evaluate the security of the block cipher. In many cases, resistance to differential cryptanalysis is proven through the upper bound of the differential characteristic probability, not the differential probability. Since the attacker uses a differential rather than a differential characteristic, resistance based on a differential characteristic tends to overestimate the security level of the block cipher. Such an overestimation is notably observed in lightweight block ciphers SKINNY, Midori, and CRAFT. In this pap
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5

DEL RIO, EZEQUIEL, and SERGIO ELASKAR. "NEW CHARACTERISTIC RELATIONS IN TYPE-II INTERMITTENCY." International Journal of Bifurcation and Chaos 20, no. 04 (2010): 1185–91. http://dx.doi.org/10.1142/s0218127410026381.

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We study analytically and numerically the reinjection probability density for type-II intermittency. We find a new one-parameter class of reinjection probability density where the classical uniform reinjection is a particular case. We derive a new duration probability density of the laminar phase. New characteristic relations eβ(-1 < β < 0) appear where the exponet β deepens on the reinjection probability distributions. Analytical results are in agreement with the numerical simulations.
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6

Lehnigk, Siegfried H. "Characteristic functions of a class of probability distributions." Complex Variables, Theory and Application: An International Journal 8, no. 3-4 (1987): 307–32. http://dx.doi.org/10.1080/17476938708814241.

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7

Meintanis, Simos G., and Nikolai G. Ushakov. "Nonparametric probability weighted empirical characteristic function and applications." Statistics & Probability Letters 108 (January 2016): 52–61. http://dx.doi.org/10.1016/j.spl.2015.08.021.

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8

Piegari, E., R. Di Maio, and L. Milano. "Characteristic scales in landslide modelling." Nonlinear Processes in Geophysics 16, no. 4 (2009): 515–23. http://dx.doi.org/10.5194/npg-16-515-2009.

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Abstract. Landslides are natural hazards occurring in response to triggers of different origins, which can act with different intensities and durations. Despite the variety of conditions that cause a landslide, the analysis of landslide inventories has shown that landslide events associated with different triggers can be characterized by the same probability distribution. We studied a cellular automaton, able to reproduce the landslide frequency-size distributions from catalogues. From the comparison between our synthetic probability distribution and the landslide area probability distribution
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9

Journal, Baghdad Science. "Some Probability Characteristics Functions of the Solution of a Stochastic Non-Linear Fredholm Integral Equation of the Second Kind." Baghdad Science Journal 8, no. 2 (2011): 394–99. http://dx.doi.org/10.21123/bsj.8.2.394-399.

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In this research, some probability characteristics functions (probability density, characteristic, correlation and spectral density) are derived depending upon the smallest variance of the exact solution of supposing stochastic non-linear Fredholm integral equation of the second kind found by Adomian decomposition method (A.D.M)
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10

Muflih, Mohammad Wahdan. "Some Probability Characteristics Functions of the Solution of a Stochastic Non-Linear Fredholm Integral Equation of the Second Kind." Baghdad Science Journal 8, no. 2 (2011): 394–99. http://dx.doi.org/10.21123/bsj.2011.8.2.394-399.

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In this research, some probability characteristics functions (probability density, characteristic, correlation and spectral density) are derived depending upon the smallest variance of the exact solution of supposing stochastic non-linear Fredholm integral equation of the second kind found by Adomian decomposition method (A.D.M)
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11

Gapeev, M. I., Yu I. Senkevich, and O. O. Lukovenkova. "Estimation of Probability Distributions of Geoacoustic Signal Characteristics." Journal of Physics: Conference Series 2096, no. 1 (2021): 012018. http://dx.doi.org/10.1088/1742-6596/2096/1/012018.

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Abstract The paper presents an estimation of probability distributions of geoacoustic signal characteristics. The studied signals have a pulsed nature. The ones have been recording at the geodynamic test site of the IKIR FEB RAS (Kamchatka Peninsula) for more than 20 years. To estimate the distribution of characteristics, such time intervals were determined in which histograms of the distribution did not change. The following characteristics were chosen for the estimation: maximum amplitude, the position of pulse envelope maximum, duration, filling frequency, and pulse-to-pulse interval. The o
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12

Yan, GU. "Quantum statistical mechanics, quantum probability and quantum characteristic function." SCIENTIA SINICA Physica, Mechanica & Astronomica 50, no. 7 (2020): 070002. http://dx.doi.org/10.1360/sspma-2019-0365.

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13

Wu, Jia, Genghua Yu, and Peiyuan Guan. "Interest Characteristic Probability Predicted Method in Social Opportunistic Networks." IEEE Access 7 (2019): 59002–12. http://dx.doi.org/10.1109/access.2019.2915359.

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14

Norvidas, Saulius. "On analytic continuation of characteristic functions of probability measures." Journal of Mathematical Analysis and Applications 390, no. 1 (2012): 93–98. http://dx.doi.org/10.1016/j.jmaa.2012.01.020.

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15

Rodinko, M. Yu. "Evaluation of block cipher “Cypress” strength against differential cryptanalysis." Radiotekhnika, no. 195 (December 28, 2018): 113–24. http://dx.doi.org/10.30837/rt.2018.4.195.11.

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This paper presents an evaluation of the practical strength of the lightweight block cipher “Cypress” to the differential cryptanalysis, which is determined by the probability of the best found differential characteristic. The paper proposes a mathematical model for evaluating the block cipher “Cypress” to differential cryptanalysis and methods for searching for multi-round differential characteristics. The first method is based on the combination of highly probable one-round differential characteristics into multi-round ones, while the second method is based on the extension of one-round char
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16

Andronov, Alexander, and Maxim Fioshin. "Applications of resampling approach to statistical problems of logical systems." Acta et Commentationes Universitatis Tartuensis de Mathematica 8 (December 31, 2004): 63–71. http://dx.doi.org/10.12697/acutm.2004.08.02.

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The resampling approach to the problem of confidence interval construction is considered. An efficiency of this approach is investigated for logical system characteristics. Proposed method allows to calculate the probability that obtained interval coverstrue value of characteristic. Empirical results show that true covering probability is close to appointed value.
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17

Kim, M. O., Hoyun Lee, Chil-Min Kim, Hyun-Soo Pang, Eok-Kyun Lee, and O. J. Kwon. "New Characteristic Relations in Type-II and III Intermittency." International Journal of Bifurcation and Chaos 07, no. 04 (1997): 831–36. http://dx.doi.org/10.1142/s0218127497000613.

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We obtained new characteristic relations in Type-II and III intermittencies according to the reinjection probability distribution. When the reinjection probability distribution is fixed at the lower bound of reinjection, the critical exponents are -1, as is well known. However when the reinjection probability distribution is uniform, the critical exponent is -1/2, and when it is of form [Formula: see text], -3/4. On the other hand, if the square root of Δ, which represents the lower bound of reinjection, is much smaller than the control parameter ∊, i.e. ∊ ≫ Δ1/2, critical exponent is always -
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18

Zhang, Kui, Hong Dong Zhao, Tong Xi Shen, and Jie Huang. "Research of Probability Distribution of Semiconductor Test Parameter." Advanced Materials Research 1049-1050 (October 2014): 754–61. http://dx.doi.org/10.4028/www.scientific.net/amr.1049-1050.754.

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The probability distribution of electrical characteristic parameters of semiconductor device is an important reference which is used to analyze the reliability and quality consistency of devices. These distributions are considered as normal distribution at home and abroad. This paper utilized mature GaAs MESFET low noise amplifier as analytic sample which is volume production and wide application, and used high-precision Agilent B1505A device analyzer to test main electrical characteristics of 408 samples. After the distribution generation of test results, the Skewness-Kurtosis method was used
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19

Rodinko, M. Yu, and R. V. Oliynykov. "Methods for finding differential characteristics of block cipher «Cypress»." Radiotekhnika, no. 191 (December 22, 2017): 47–51. http://dx.doi.org/10.30837/rt.2017.4.191.05.

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Three methods for finding differential characteristics of the round function of the block cipher «Cypress» are proposed, namely: a direct search method, a two-way search method, and an optimized method for finding the differential characteristic with high probability. The purpose of all three approaches is to activate the smallest amount of bits at inputs of the modulo addition transformation of the round function, which, in turn, increases the likelihood of the transformation. The optimized method makes it possible to find the differential characteristic on the round function of the block cip
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20

Kwapień, S., and V. Tarieladze. "Mackey Continuity of Characteristic Functionals." gmj 9, no. 1 (2002): 83–112. http://dx.doi.org/10.1515/gmj.2002.83.

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Abstract Problems of the Mackey-continuity of characteristic functionals and the localization of linear kernels of Radon probability measures in locally convex spaces are investigated. First the class of spaces is described, for which the continuity takes place. Then it is shown that in a non-complete sigmacompact inner product space, as well as in a non-complete sigma-compact metizable nuclear space, there may exist a Radon probability measure having a non-continuous characteristic functional in the Mackey topology and a linear kernel not contained in the initial space. Similar problems for m
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21

Cheng, Qiang, Can Wu, Peihua Gu, Wenfen Chang, and Dongsheng Xuan. "An Analysis Methodology for Stochastic Characteristic of Volumetric Error in Multiaxis CNC Machine Tool." Mathematical Problems in Engineering 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/863283.

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Traditional approaches about error modeling and analysis of machine tool few consider the probability characteristics of the geometric error and volumetric error systematically. However, the individual geometric error measured at different points is variational and stochastic, and therefore the resultant volumetric error is aslo stochastic and uncertain. In order to address the stochastic characteristic of the volumetric error for multiaxis machine tool, a new probability analysis mathematical model of volumetric error is proposed in this paper. According to multibody system theory, a mean val
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22

Gao, Lei Lei, and Xin Tao Xia. "Poor Information Analysis of Rolling Bearing Friction Torque Characteristic Parameter Based on Phase Space." Advanced Materials Research 382 (November 2011): 167–71. http://dx.doi.org/10.4028/www.scientific.net/amr.382.167.

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The friction torque of rolling bearings belongs to an information poor system with unknown probability distributions and trends. This counteracts dynamical assessment for the characteristics of the rolling bearing friction torque as a time series. For this reason, the chaos theory is employed to recover the original dynamic characteristics of a friction torque time series by means of the phase space reconstruction theory. The dynamical Bayesian probability density function of the characteristic parameters of the friction torque is constructed by the information poor theory based on the phase s
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23

Kolpin, V. "How characteristic are characteristic functions?" International Journal of Game Theory 19, no. 3 (1990): 287–99. http://dx.doi.org/10.1007/bf01755479.

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24

Цзан, Ц., and Z. Zhang. "Bounds for characteristic functions and Laplace transforms of probability distributions." Teoriya Veroyatnostei i ee Primeneniya 56, no. 2 (2011): 407–14. http://dx.doi.org/10.4213/tvp4385.

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25

Hughett, Paul. "Error Bounds for Numerical Inversion of a Probability Characteristic Function." SIAM Journal on Numerical Analysis 35, no. 4 (1998): 1368–92. http://dx.doi.org/10.1137/s003614299631085x.

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26

Fakhry, Mohammed E. "Some Characteristic Properties of a Certain Family of Probability Distributions." Statistics 28, no. 2 (1996): 179–85. http://dx.doi.org/10.1080/02331889708802558.

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27

Zhang, Z. "Bounds for Characteristic Functions and Laplace Transforms of Probability Distributions." Theory of Probability & Its Applications 56, no. 2 (2012): 350–58. http://dx.doi.org/10.1137/s0040585x97985479.

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28

Bohumir, Strnadel, Ivan Nedbal, Claude Prioul, and Masaki Shiratori. "Probability of brittle fracture instability and characteristic distance in steels." Proceedings of the 1992 Annual Meeting of JSME/MMD 2000 (2000): 193–94. http://dx.doi.org/10.1299/jsmezairiki.2000.0_193.

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29

Schladitz, K., and H. J. Engelbert. "On Probability Density Functions Which are Their Own Characteristic Functions." Theory of Probability & Its Applications 40, no. 3 (1996): 577–81. http://dx.doi.org/10.1137/1140065.

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30

Meintanis, Simos G., Jan Swanepoel, and James Allison. "The probability weighted characteristic function and goodness-of-fit testing." Journal of Statistical Planning and Inference 146 (March 2014): 122–32. http://dx.doi.org/10.1016/j.jspi.2013.09.011.

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31

Sheremeta, Myroslav, and Markiyan Dobushovskyy. "Remarks on lower estimates for characteristic functions of probability laws." Visnyk Lvivskogo Universytetu Seriya Mekhaniko-Matematychna 94 (2022): 89. http://dx.doi.org/10.30970/vmm.2022.94.089-097.

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32

Pepe, Margaret Sullivan. "Receiver Operating Characteristic Methodology." Journal of the American Statistical Association 95, no. 449 (2000): 308–11. http://dx.doi.org/10.1080/01621459.2000.10473930.

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33

Cohen, Leon. "Quantum Mechanical Approach to the Khintchine and Bochner Criteria for Characteristic Functions." Entropy 25, no. 7 (2023): 1042. http://dx.doi.org/10.3390/e25071042.

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While it is generally accepted that quantum mechanics is a probability theory, its methods differ radically from standard probability theory. We use the methods of quantum mechanics to understand some fundamental aspects of standard probability theory. We show that wave functions and operators do appear in standard probability theory. We do so by generalizing the Khintchine and Bochner criteria for a complex function to be a characteristic function. We show that quantum mechanics clarifies these criteria and suggests generalizations of them.
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34

Pochernyaev, V. N., N. M. Syvkova, and M. S. Mahomedova. "Error Probability of a Multipath Communication Channel With Inaccurate Estimation of the Impulse Characteristic of Such Channel." Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, no. 92 (June 30, 2023): 23–27. https://doi.org/10.20535/radap.2023.92.23-27.

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The possibility of error in the case of imprecise estimation of the impulse characteristic of a multipath channel is investigated in the article. The study was carried out for a multipath communication channel of discrete channel models, which corresponds to the mapping of a continuous two-path channel onto a discrete channel with an impulse characteristic. Numerical results of calculations are obtained, which can be used to calculate the error probability in the cases indicated in the article, which differ in the ratio of the amplitudes of the interfering beams. Formulas for calculating proba
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35

Kichaeva, Oxana. "Probability of brick structures destruction." ACADEMIC JOURNAL Series: Industrial Machine Building, Civil Engineering 1, no. 52 (2019): 110–14. http://dx.doi.org/10.26906/znp.2019.52.1683.

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The results of calculations of construction brick destruction probability determination at central and off-center compressionare given; the determination of the brick structures destruction probability, caused by the exhaustion of the masonry strengthon local compression (crushing); determination of the brick structures destruction probability associated with the exhaustionof the masonry strength on the displacement (cut); determination of the brick structures destruction probability associatedwith the exhaustion of the masonry strength on the fold, the stretch; determination of the brick stru
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36

Holgate, P. "The lognormal characteristic function." Communications in Statistics - Theory and Methods 18, no. 12 (1989): 4539–48. http://dx.doi.org/10.1080/03610928908830173.

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37

Su, Shu-Ching, Stephan A. Sedory, and Sarjinder Singh. "Adjusted Kuk's model using two non sensitive characteristics unrelated to the sensitive characteristic." Communications in Statistics - Theory and Methods 46, no. 4 (2016): 2055–75. http://dx.doi.org/10.1080/03610926.2015.1040503.

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38

Witkovsky, Viktor. "Implementation of the characteristic functions approach to measurement uncertainty evaluation." Ukrainian Metrological Journal, no. 1 (March 31, 2022): 38–43. http://dx.doi.org/10.24027/2306-7039.1.2022.258818.

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Probability distributions suitable for modelling measurements and determining their uncertainties are usually based on a standard approximation approach as described in GUM, i.e. the GUM uncertainty framework (GUF), using the law of uncertainty propagation (also known as the delta method) or a more accurate method based on the law of probability propagation calculated using the Monte Carlo method (MCM). As an alternative to GUF and MCM, we present a characteristic function approach (CFA), which is suitable for determining measurement uncertainties by using the exact probability distribution of
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39

Sadaoui, You, and V. M. Tsukernik. "Probability distribution for a Langevin paramagnet." Soviet Journal of Low Temperature Physics 18, no. 8 (1992): 610–13. https://doi.org/10.1063/10.0033251.

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The probability distribution function for the transverse spin component (perpendicular to the constant external magnetic field) is constructed for a Langevin paramagnetic gas in thermodynamic equilibrium. It is shown that the quantum nature of spin affects the temperature-field probability dependence. The obtained asymptotic forms show that the probability distributions for classical spin and quantum spin of large magnitude are quite different. A characteristic function is obtained for determining the mean values of higher-order spin multipoles.
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40

Lund, Emily. "Comparing Word Characteristic Effects on Vocabulary of Children with Cochlear Implants." Journal of Deaf Studies and Deaf Education 24, no. 4 (2019): 424–34. http://dx.doi.org/10.1093/deafed/enz015.

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Abstract Many studies have evaluated overall vocabulary knowledge of children who use cochlear implants, but there has been minimal focus on how word form characteristics affect this knowledge. This study evaluates the effects of neighborhood density and phonotactic probability on the expressive vocabulary of 81 children between five and seven years old (n = 27 cochlear implant users, n = 27 children matched for chronological age, and n = 27 children matched for vocabulary size). Children were asked to name pictures associated with words that have common and rare phonotactic probability and hi
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41

Ling, Jeeng Min, and Kunkerati Lublertlop. "The Estimation of Wind Speed and Wind Power Characteristics in Taiwan." Applied Mechanics and Materials 535 (February 2014): 145–48. http://dx.doi.org/10.4028/www.scientific.net/amm.535.145.

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In this paper, the Weibull, Gamma, Lognormal, Rayleigh probability density functions (PDF) were used to statistically analyze the characteristics of wind speed and evaluate the energy based on hourly records from years of 2004 to 2009 at 24 locations in Taiwan. Weibull model shows the best goodness probability density function for estimating behavior of wind characteristic within six years at 7 sites of weather station better than using the Gamma and Rayleigh model. The annual mean wind power density is estimated and compared by different index. The feasibility of probability distributions at
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42

Langer, Adrian. "Semistable sheaves in positive characteristic." Annals of Mathematics 159, no. 1 (2004): 251–76. http://dx.doi.org/10.4007/annals.2004.159.251.

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43

Welsh, A. H. "Implementing empirical characteristic function procedures." Statistics & Probability Letters 4, no. 2 (1986): 65–67. http://dx.doi.org/10.1016/0167-7152(86)90019-2.

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44

Berman, Simeon M., and Eugene Lukacs. "Developments in Characteristic Function Theory." Journal of the American Statistical Association 80, no. 392 (1985): 1070. http://dx.doi.org/10.2307/2288586.

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45

Wijayanto, Dwi Agus, Rusli Hidayat, and Moh Hasan. "Application of Difference Equations Model in Determining Genotype Probability Offspring with Two Different Characteristic." Jurnal ILMU DASAR 14, no. 2 (2013): 79. http://dx.doi.org/10.19184/jid.v14i2.90.

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Population genetics is a branch of biology which studies about the gene composition from population and the change of the gene composition is effect from some factors. One of them is lethal gene factor. The change of gene composition will influence the genotype probabilities in the population. In this paper discussed about determining the genotype for the probability of the n-th offspring genotypes in dihybrid mating by observing linkage between the two loci. The mating occurred randomly and without concern ethics in mating. This research was done by making mathematics model to determine allel
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46

Biscay, Rolando, and Roberto Pascual. "Distance between probability measures based on the relative operating characteristic curves." Statistics 24, no. 4 (1993): 371–76. http://dx.doi.org/10.1080/02331888308802424.

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47

Klein, Claude A. "Characteristic strength, Weibull modulus, and failure probability of fused silica glass." Optical Engineering 48, no. 11 (2009): 113401. http://dx.doi.org/10.1117/1.3265716.

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48

Dorodnov, A. A. "Approximate computation of characteristic functionals of some classes of probability measures." Journal of Soviet Mathematics 39, no. 5 (1987): 3003–9. http://dx.doi.org/10.1007/bf01093432.

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49

Karlová, A., and L. B. Klebanov. "Estimation of the Tail of Probability Distribution Through its Characteristic Function." Journal of Mathematical Sciences 229, no. 6 (2018): 714–18. http://dx.doi.org/10.1007/s10958-018-3710-7.

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50

Chen, Xiaoyue, Jianzhong Zhou, Han Xiao, Ercheng Wang, Jian Xiao, and Huifeng Zhang. "Fault diagnosis based on comprehensive geometric characteristic and probability neural network." Applied Mathematics and Computation 230 (March 2014): 542–54. http://dx.doi.org/10.1016/j.amc.2013.12.122.

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