Interval Method

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Muhammad Aslam - One of the best experts on this subject based on the ideXlab platform.

  • introducing grubbs s test for detecting outliers under neutrosophic statistics an application to medical data
    Journal of King Saud University - Science, 2020
    Co-Authors: Muhammad Aslam
    Abstract:

    Abstract Objective In this paper, we will introduce the designing of Grubbs’s test under neutrosophic statistics. The proposed test will be a generalization of Grubbs’s test under classical statistics. Method We will present the designing and the operational procedure of the proposed test under the neutrosophic statistical Interval Method. Results The application of the proposed test will be given with the aid of real data from the medical field. Conclusion From the comparisons, it is concluded that the proposed test is more effective, informative and flexible than the existing Grubbs’s tests.

  • A new attribute sampling plan using neutrosophic statistical Interval Method
    Complex & Intelligent Systems, 2019
    Co-Authors: Muhammad Aslam
    Abstract:

    In the classical statistics, for the inspection of a final lot of the product, a decision is made either the lot has good quality or not using an acceptance sampling plan. The acceptance of sampling using the classical statistics assumes that data are determinate. In some situations, the data may imprecise and even intermediate which leads to indecision about the quality of the submitted lot of the product. In this situation, neutrosophic statistics can be applied for the lot sentencing. In this paper, a new attribute sampling plan is proposed using the neutrosophic Interval Method. The lot acceptance, rejection, and indeterminate probabilities are computed using the neutrosophic binomial distribution at various specified parameters such as sample size and acceptance number. The efficiency of the proposed sampling plan is also discussed. A real example is also added to explain the proposed sampling plan.

  • control chart for variance using repetitive sampling under neutrosophic statistical Interval system
    IEEE Access, 2019
    Co-Authors: Muhammad Aslam
    Abstract:

    In this paper, a control chart for variance using the repetitive sampling under the neutrosophic statistics is proposed. The proposed control chart can be applied for monitoring the variability in the process when some observations/parameters are unclear and indeterminate. The operational procedure of the proposed control chart and the necessary measures are given for the practical use of the proposed control chart. The control chart parameters are determined through the algorithm under neutrosophic statistical Interval Method. The efficiency of the proposed control chart is compared with the existing control chart in neutrosophic average run length. From the simulation study and a real example, it is concluded that the proposed control chart is more efficient in detecting a shift in the process and more adequate, effective, informative, and flexible under the uncertainty environment.

  • a new failure censored reliability test using neutrosophic statistical Interval Method
    International Journal of Fuzzy Systems, 2019
    Co-Authors: Muhammad Aslam
    Abstract:

    The failure-censored reliability tests available in the literature are applied when under the assumption that all failure data/observations are precise, clear and determinate. But, in practice, when the variable failure data/observations obtained from the measurement process are not precise, clear and determinate, the failure-censored reliability tests using classical statistics cannot be applied for the reliability testing. A more generalized form of the classical statistics is known as neutrosophic statistics which can be applied when the measurable failure data/observations are indeterminate, unclear, incomplete and vague. In this manuscript, we will originally design failure-censored reliability tests using the neutrosophic fuzzy approach. The neutrosophic plan parameters of the proposed neutrosophic fuzzy failure-censored reliability plan assume that the failure time follows the neutrosophic Weibull distribution. The neutrosophic fuzzy optimization problem is used to determine the neutrosophic plan parameters for given producer’s risk and consumer’s risk. Some tables are given for the practical use and exampled with the help of an example.

  • monitoring the variability in the process using neutrosophic statistical Interval Method
    Symmetry, 2018
    Co-Authors: Muhammad Aslam, Nasrullah Khan, Muhammad Zahir Khan
    Abstract:

    Existing variance control charts are designed under the assumptions that no uncertain, fuzzy and imprecise observations or parameters are in the population or the sample. Neutrosophic statistics, which is the extension of classical statistics, has been widely used when there is uncertainty in the data. In this paper, we will originally design S 2 control chart under the neutrosophic Interval Methods. The complete structure of the neutrosophic S 2 control chart will be given. The necessary measures of neutrosophic S 2 will be given. The neutrosophic coefficient of S 2 control chart will be determined through the neutrosophic algorithm. Some tables are given for practical use. The efficiency of the proposed control chart is shown over the S 2 control chart designed under the classical statistics in neutrosophic average run length (NARL). A real example is also added to illustrate the proposed control chart. From the comparison in the simulation study and case study, it is concluded that the proposed control chart performs better than the existing control chart under uncertainty.

Mark N Hadley - One of the best experts on this subject based on the ideXlab platform.

  • the diagnosis and management of traumatic atlanto occipital dislocation injuries
    Neurosurgery, 2013
    Co-Authors: Nicholas Theodore, Bizhan Aarabi, Sanjay S Dhall, Daniel E Gelb, John R Hurlbert, Curtis J Rozzelle, Timothy C Ryken, Beverly C Walters, Mark N Hadley
    Abstract:

    DIAGNOSTIC STANDARDS There is insufficient evidence to support diagnostic standards. GUIDELINES There is insufficient evidence to support diagnostic guidelines. OPTIONS A lateral cervical x-ray is recommended for the diagnosis of atlanto-occipital dislocation. If a radiological Method for measurement is used, the basion-axial Interval-basion-dental Interval Method is recommended. The presence of upper cervical prevertebral soft tissue swelling on an otherwise nondiagnostic plain x-ray should prompt additional imaging. If there is clinical suspicion of atlanto-occipital dislocation, and plain x-rays are nondiagnostic, computed tomography or magnetic resonance imaging is recommended, particularly for the diagnosis of non-Type II dislocations. TREATMENT STANDARDS There is insufficient evidence to support treatment standards. GUIDELINES There is insufficient evidence to support treatment guidelines. OPTIONS Treatment with internal fixation and arthrodesis using one of a variety of Methods is recommended. Traction may be used in the management of patients with atlanto-occipital dislocation, but it is associated with a 10% risk of neurological deterioration.

Beverly C Walters - One of the best experts on this subject based on the ideXlab platform.

  • the diagnosis and management of traumatic atlanto occipital dislocation injuries
    Neurosurgery, 2013
    Co-Authors: Nicholas Theodore, Bizhan Aarabi, Sanjay S Dhall, Daniel E Gelb, John R Hurlbert, Curtis J Rozzelle, Timothy C Ryken, Beverly C Walters, Mark N Hadley
    Abstract:

    DIAGNOSTIC STANDARDS There is insufficient evidence to support diagnostic standards. GUIDELINES There is insufficient evidence to support diagnostic guidelines. OPTIONS A lateral cervical x-ray is recommended for the diagnosis of atlanto-occipital dislocation. If a radiological Method for measurement is used, the basion-axial Interval-basion-dental Interval Method is recommended. The presence of upper cervical prevertebral soft tissue swelling on an otherwise nondiagnostic plain x-ray should prompt additional imaging. If there is clinical suspicion of atlanto-occipital dislocation, and plain x-rays are nondiagnostic, computed tomography or magnetic resonance imaging is recommended, particularly for the diagnosis of non-Type II dislocations. TREATMENT STANDARDS There is insufficient evidence to support treatment standards. GUIDELINES There is insufficient evidence to support treatment guidelines. OPTIONS Treatment with internal fixation and arthrodesis using one of a variety of Methods is recommended. Traction may be used in the management of patients with atlanto-occipital dislocation, but it is associated with a 10% risk of neurological deterioration.

Nicholas Theodore - One of the best experts on this subject based on the ideXlab platform.

  • the diagnosis and management of traumatic atlanto occipital dislocation injuries
    Neurosurgery, 2013
    Co-Authors: Nicholas Theodore, Bizhan Aarabi, Sanjay S Dhall, Daniel E Gelb, John R Hurlbert, Curtis J Rozzelle, Timothy C Ryken, Beverly C Walters, Mark N Hadley
    Abstract:

    DIAGNOSTIC STANDARDS There is insufficient evidence to support diagnostic standards. GUIDELINES There is insufficient evidence to support diagnostic guidelines. OPTIONS A lateral cervical x-ray is recommended for the diagnosis of atlanto-occipital dislocation. If a radiological Method for measurement is used, the basion-axial Interval-basion-dental Interval Method is recommended. The presence of upper cervical prevertebral soft tissue swelling on an otherwise nondiagnostic plain x-ray should prompt additional imaging. If there is clinical suspicion of atlanto-occipital dislocation, and plain x-rays are nondiagnostic, computed tomography or magnetic resonance imaging is recommended, particularly for the diagnosis of non-Type II dislocations. TREATMENT STANDARDS There is insufficient evidence to support treatment standards. GUIDELINES There is insufficient evidence to support treatment guidelines. OPTIONS Treatment with internal fixation and arthrodesis using one of a variety of Methods is recommended. Traction may be used in the management of patients with atlanto-occipital dislocation, but it is associated with a 10% risk of neurological deterioration.

Dan Nettleton - One of the best experts on this subject based on the ideXlab platform.

  • conformal prediction Intervals for neural networks using cross validation
    arXiv: Machine Learning, 2020
    Co-Authors: Saeed Khaki, Dan Nettleton
    Abstract:

    Neural networks are among the most powerful nonlinear models used to address supervised learning problems. Similar to most machine learning algorithms, neural networks produce point predictions and do not provide any prediction Interval which includes an unobserved response value with a specified probability. In this paper, we proposed the $k$-fold prediction Interval Method to construct prediction Intervals for neural networks based on $k$-fold cross validation. Simulation studies and analysis of 10 real datasets are used to compare the finite-sample properties of the prediction Intervals produced by the proposed Method and the split conformal (SC) Method. The results suggest that the proposed Method tends to produce narrower prediction Intervals compared to the SC Method while maintaining the same coverage probability. Our experimental results also reveal that the proposed $k$-fold prediction Interval Method produces effective prediction Intervals and is especially advantageous relative to competing approaches when the number of training observations is limited.