Two-sample Kolmogorov-Smirnov test using a Bayesian nonparametric approach

Al-Labadi, Luai; Zarepour, Mahmoud

doi:10.3103/s1066530717030048

Cited by 25 publications

(11 citation statements)

References 22 publications

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“…e significance ranges from 0 to 1; the higher the significance, the lower the difference. More information about this test is given inÖzcomak et al [19] and Al-Labadi and Zarepour [20]. e test returned two significances corresponding to the dip direction and dip angle.…”

Section: Application Of the Modified Terzaghi Methodsmentioning

confidence: 99%

Correction of Line‐Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method

Tang

Zhang

Huang

et al. 2018

Advances in Civil Engineering

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The Terzaghi method is widely used to correct the line-sampling bias of rock discontinuity orientations. The method includes four procedures, one of which is meshing the stereographic projection diagram into cells. The method is based on the bias-compensatory factor, 1/sin θ, where θ is the angle between the scanline and the discontinuity defined at each cell center. This paper presents a modified Terzaghi method that eliminates meshing, thereby reducing the method to three steps that (1) count the frequencies, (2) weigh the frequencies by the bias-compensatory factor, and (3) round the weighed frequencies to the nearest integer. Due to the elimination of the mesh, the counting object has changed to the frequency at each pole, and θ in the bias-compensatory factor is redefined as the angle between the scanline and the discontinuity at each pole. The applicability of the redefined bias-compensatory factor is verified through a mathematical logical deduction. The accuracy of the conventional and the modified Terzaghi methods are compared using a case study in Wenchuan, China, revealing improved accuracy for the latter.

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Section: Application Of the Modified Terzaghi Methodsmentioning

confidence: 99%

Correction of Line‐Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method

Tang

Zhang

Huang

et al. 2018

Advances in Civil Engineering

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“…To test that the characteristics are statistically robust, we tested the hypothesises by the experimental data from storage mediums. Firstly, the Kolmogorov-Smirnov test is used to test whether the distributions of value's ratio for each offset come from the same distribution [37]. We chose the (a)∼(f) mediums marked in Table 1 as sample Through this result, we verified that the assumption that the distributions are from the same distribution is not valid.…”

Section: A Probability Distribution Of Byte Value's Ratiomentioning

confidence: 99%

High-Speed Searching Target Data Traces Based on Statistical Sampling for Digital Forensics

Jeong

Lee

2019

IEEE Access

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As technology of manufacturing storage medium advances, data storage capacity has been increasing exponentially. This pervasiveness has made a forensic examination time-consuming and difficult. If a file system of data storage remains intact, an examiner can find files that would be important evidence by analyzing hierarchy, name, time information, etc. of files and folders. However, as anti-forensic techniques such as metadata destruction and disk format are widely known, the data search based on the file system becomes more impractical. Besides, significant evidences could be stored in the unallocated area; investigating the entire area of data storage is still important. The famous methods of exploring the existence of evidence are hash comparison and random sampling. The hash comparison that calculates hash for all sectors and compares them can detect all fragments of the evidence. However, it requires an enormous amount of time and computing resources. Whereas the random sampling takes much less time as it exploits a portion of data storage, but it involves the risk of false-negative; this fact is critical to forensic examiners. In this paper, we blend the merits of both methods to make false-negative zero and to reduce the processing time extremely at the same time. We use 16-byte values in a sector instead of traditional hash to filter out the unmatched sector. The values are statistically selected based on the frequency of occurrence according to offset. The effectiveness of our methodology is evaluated through several experiments. INDEX TERMS Forensics, computer crime, security, data acquisition.

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“…Different interferences were added to the Helmholtz coil and the magnetometer's outputs were recorded. Since the distribution of the real measurements was unknown, moment estimation and the Kolmogorov-Smirnov (K-S) test (Al-Labadi and Zarepour, 2017) were used to evaluate and verify the statistical characteristics. Figure 9 compares the Cumulative Distribution Function (CDF) of the normalised measurements in one experiment with the standard normal distribution.…”

Section: Semi-physical Experimentsmentioning

confidence: 99%

An Improved ICCP Matching Algorithm for use in an Interference Environment during Geomagnetic Navigation

Xiao

Duan

et al. 2019

J. Navigation

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The Iterated Closest Contour Point (ICCP) algorithm is widely used in geomagnetic navigation. In order to enhance the anti-interference performance of the ICCP, an improved algorithm is proposed. First, the principle of delta modulation is introduced to generate a geomagnetic matching sequence according to the magnetic fluctuations, this assists finding the optimal quantitative step and matching length; thus, the algorithm's accuracy and real-time performance are improved. Second, in order to solve the problem of geomagnetic matching under an interference environment, a Probability Data Association (PDA) algorithm based on regenerated measurements is adopted. The ideal magnetic value is regarded as a target, and the measured values within the confidence region are taken as the effective measurements of the target. Each of them will give an estimation of the vehicle's position. Considering the constraints of a vehicle's kinematic performance, its final position can be obtained by fusing all effective estimations with the PDA algorithm. Simulation and semi-physical experiments have verified the feasibility and effectiveness of the proposed algorithm. The Regenerated Measurements (RM)-PDA algorithm shows better performance and can be used in practical applications.

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Two-sample Kolmogorov-Smirnov test using a Bayesian nonparametric approach

Cited by 25 publications

References 22 publications

Correction of Line‐Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method

Correction of Line‐Sampling Bias of Rock Discontinuity Orientations Using a Modified Terzaghi Method

High-Speed Searching Target Data Traces Based on Statistical Sampling for Digital Forensics

An Improved ICCP Matching Algorithm for use in an Interference Environment during Geomagnetic Navigation

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