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Search Results: 1 - 10 of 1978 matches for " Leo Odongo "
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Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Two-Phase Sampling  [PDF]
John Kung’u, Leo Odongo
Open Journal of Statistics (OJS) , 2014, DOI: 10.4236/ojs.2014.44024
Abstract:

In this paper, we have proposed three classes of ratio-cum-product estimators for estimating population mean of study variable for two-phase sampling using multi-auxiliary attributes for full information, partial information and no information cases. The expressions for mean square errors are derived. An empirical study is given to compare the performance of the estimator with the existing estimator that utilizes auxiliary attribute or multiple auxiliary attributes. The ratio-cum-product estimator in two-phase sampling for full information case has been found to be more efficient than existing estimators and also ratio-cum-product estimator in two-phase sampling for both partial and no information case. Finally, ratio-cum-product estimator in two-phase sampling for partial information case has been found to be more efficient than ratio-cum-product estimator in two-phase sampling for no information case.

Ratio-Cum-Product Estimator Using Multiple Auxiliary Attributes in Single Phase Sampling  [PDF]
John Kung’u, Leo Odongo
Open Journal of Statistics (OJS) , 2014, DOI: 10.4236/ojs.2014.44023
Abstract:

In this paper, we have proposed a class of ratio-cum-product estimator for estimating population mean of study variable for single phase sampling using multi-auxiliary attributes. The expressions for mean square error are derived. An empirical study is given to compare the performance of the estimator with existing estimators. It has been found that the ratio-cum-product estimator using multiple auxiliary attributes is more efficient than mean per unit, product and ratio estimators using one auxiliary attribute, and Product and Ratio estimators using multiple auxiliary attributes in single phase sampling.

Maximum Likelihood Estimation of the Parameters of Exponentiated Generalized Weibull Based on Progressive Type II Censored Data  [PDF]
Ibrahim Sawadogo, Leo Odongo, Ibrahim Ly
Open Journal of Statistics (OJS) , 2017, DOI: 10.4236/ojs.2017.76067
Abstract: Exponentiated Generalized Weibull distribution is a probability distribution which generalizes the Weibull distribution introducing two more shapes parameters to best adjust the non-monotonic shape. The parameters of the new probability distribution function are estimated by the maximum likelihood method under progressive type II censored data via expectation maximization algorithm.
Mixture Regression Estimators Using Multi-Auxiliary Variables and Attributes in Two-Phase Sampling  [PDF]
John John Kung’u, Grace Chumba, Leo Odongo
Open Journal of Statistics (OJS) , 2014, DOI: 10.4236/ojs.2014.45035
Abstract:

In this paper, we have developed estimators of finite population mean using Mixture Regression estimators using multi-auxiliary variables and attributes in two-phase sampling and investigated its finite sample properties in full, partial and no information cases. An empirical study using natural data is given to compare the performance of the proposed estimators with the existing estimators that utilizes either auxiliary variables or attributes or both for finite population mean. The Mixture Regression estimators in full information case using multiple auxiliary variables and attributes are more efficient than mean per unit, Regression estimator using one auxiliary variable or attribute, Regression estimator using multiple auxiliary variable or attributes and Mixture Regression estimators in both partial and no information case in two-phase sampling. A Mixture Regression estimator in partial information case is more efficient than Mixture Regression estimators in no information case.

A New Regression Type Estimator with Two Auxiliary Variables for Single-Phase Sampling  [PDF]
Everline Chemutai Tum, John Kung’u, Leo Odongo
Open Journal of Statistics (OJS) , 2014, DOI: 10.4236/ojs.2014.49074
Abstract: In this paper, we have proposed an estimator of finite population mean using a new regression type estimator with two auxiliary variables for single-phase sampling and investigated its finite sample properties. An empirical study has been carried out to compare the performance of the proposed estimator with the existing estimators that utilize auxiliary variables for finite population mean. It has been found that the new regression type estimator with two auxiliary variables for to be more efficient than mean per unit, ratio and product estimator and exponential ratio and exponential product estimators and exponential ratio-product estimator.
Longitudinal Survey, Nonmonotone, Nonresponse, Imputation, Nonparametric Regression  [PDF]
Sarah Pyeye, Charles K. Syengo, Leo Odongo, George O. Orwa, Romanus O. Odhiambo
Open Journal of Statistics (OJS) , 2016, DOI: 10.4236/ojs.2016.66092
Abstract: The study focuses on the imputation for the longitudinal survey data which often has nonignorable nonrespondents. Local linear regression is used to impute the missing values and then the estimation of the time-dependent finite populations means. The asymptotic properties (unbiasedness and consistency) of the proposed estimator are investigated. Comparisons between different parametric and nonparametric estimators are performed based on the bootstrap standard deviation, mean square error and percentage relative bias. A simulation study is carried out to determine the best performing estimator of the time-dependent finite population means. The simulation results show that local linear regression estimator yields good properties.
Fatal Disseminated Kaposi's Sarcoma due to Immune Reconstitution Inflammatory Syndrome following HAART Initiation
Fatuma Catherine Atieno Odongo
Case Reports in Infectious Diseases , 2013, DOI: 10.1155/2013/546578
Abstract: This is a case report of disseminated Kaposi's sarcoma in the context of immune reconstitution inflammatory syndrome in an HIV-infected patient on HAART regimen for 2 months. The patient rapidly progressed to death in 5 days after worsening pulmonary infiltrates and multiple organ failure. 1. Introduction Kaposi’s sarcoma (KS), a low-grade malignancy that is associated with human herpesvirus-8 (HHV-8), is a multifocal tumor that most commonly affects mucocutaneous sites. In its disseminated form, it can also involve lymph nodes and visceral organs, in particular the respiratory and gastrointestinal tract, but every organ can potentially be affected, including bone tissue. Four forms of the disease have been recognized: the classic form (occurring in Mediterranean elders), the endemic form (occurring in African children), the transplant-associated form (resulting from iatrogenic immunosuppression), and the epidemic form which is associated with HIV infection. Although antiretroviral therapy is a condition for AIDS associated KS improvement and resolution, in disseminated cases, HAART may rarely induce an immune reconstitution inflammatory syndrome (IRIS) of varying severity and even fatal cases. IRIS in the context of KS is rare and often not readily recognized, thus delaying the necessary immediate measures. 2. Case Report A 29-year-old homosexual male patient was admitted at the emergency unit on February 22, 2012, complaining of shortness of breath and a dry cough for the past 3 days. He mentioned associated intermittent fever of 38°C, bloody sputum, and weight loss. Two months prior to the emergency room admission, he had received a positive anti-HIV ELISA test and an initial CD4+ lymphocyte count of 136?cells/mm3. Highly active anti-retroviral therapy (HAART) consisting of lamivudine, zidovudine and efavirenz had been initiated. Two weeks prior to hospital admission, he had been started on prophylactic sulfamethoxazole-trimethoprim (SMX-TMP), and on the same date, it had been noted that he presented purplish skin lesions on his anterior chest, right eyelid, right arm, and shoulder, as well as groin area, hard palate, and uvula, all suggestive of Kaposi’s sarcoma (KS) in association with oral candidiasis. Due to worsening respiratory symptoms on the second day of hospital admission, he was referred to the intensive care unit of the Department of Infectious Diseases. On admission at the ICU, he was alert and oriented, with a stable blood pressure, but with a respiratory rate of 24 breaths per minute and hypoxemia with at room air. Other notable
The Monty Hall Problem and beyond: Digital-Mathematical and Cognitive Analysis in Boole’s Algebra, Including an Extension and Generalization to Related Cases  [PDF]
Leo Depuydt
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.14027
Abstract: The Monty Hall problem has received its fair share of attention in mathematics. Recently, an entire monograph has been devoted to its history. There has been a multiplicity of approaches to the problem. These approaches are not necessarily mutually exclusive. The design of the present paper is to add one more approach by analyzing the mathematical structure of the Monty Hall problem in digital terms. The structure of the problem is described as much as possible in the tradition and the spirit—and as much as possible by means of the algebraic conventions—of George Boole’s Investigation of the Laws of Thought (1854), the Magna Charta of the digital age, and of John Venn’s Symbolic Logic (second edition, 1894), which is squarely based on Boole’s Investigation and elucidates it in many ways. The focus is not only on the digital-mathematical structure itself but also on its relation to the presumed digital nature of cognition as expressed in rational thought and language. The digital approach is outlined in part 1. In part 2, the Monty Hall problem is analyzed digitally. To ensure the generality of the digital approach and demonstrate its reliability and productivity, the Monty Hall problem is extended and generalized in parts 3 and 4 to related cases in light of the axioms of probability theory. In the full mapping of the mathematical structure of the Monty Hall problem and any extensions thereof, a digital or non-quantitative skeleton is fleshed out by a quantitative component. The pertinent mathematical equations are developed and presented and illustrated by means of examples.
To Comma or Not to Comma: The Mathematics of the Relative Clause, All Types, via Boole and Venn  [PDF]
Leo Depuydt
International Journal of Intelligence Science (IJIS) , 2012, DOI: 10.4236/ijis.2012.24015
Abstract: The present paper is part of a large scale project in Intelligence Science. The nearterm aim of this project is the increased digitalization of the analysis of human intelligence in as far as intelligence is rational. The ultimate aim is to draw up a complete and definitive map of the totality of rational human intelligence or rational thought and language. As far as the mathematical component of this project is concerned, two contributions have appeared so far, the following: 1) “The Monty Hall Problem and beyond: Digital-Mathematical and Cognitive Analysis in Boole’s Algebra, Including an Extension and Generalization to Related Cases”, in Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 1, No. 4 (July 2011), pp. 136-154; 2) “Higher Variations of the Monty Hall Problem (3.0, 4.0) and Empirical Definition of the Phenomenon of Mathematics, in Boole’s Footsteps, as Something the Brain Does”, in Advances in Pure Mathematics (www.scirp.org/journal/apm), Vol. 2, No. 4 (July 2012), pp. 243-273, including an appendix by Richard D. Gill. The present paper pertains to the linguistics branch of the project. It is concerned with linguistic cognition. The focus of this paper is on a single phenomenon, the relative clause and all its possible types. The method of analyzing the structure of rational thought and language that is advanced in this paper and applied to the relative clause claims validity on the following three grounds. First, it is mathematical and digital in the strictest possible sense. Second, the empirical data to which this mathematical method is applied are fully accessible in language. After all, all that is essential to that structure must be exteriorized in sounds or written symbols for the structure to be transported from one brain to another and understood. The structure must somehow be encoded in its entirety in the airwaves or light beams that travel to a hearer’s ear or a reader’s eye. And these airwaves and light beams are accessible to observation. Third, general inspiration and encouragement can be drawn from the fact that it has already been long established that the brain teems with digital activity, including in the prefrontal cortex. In sum, there is every incentive for dissecting language in search of the digital structure of rational thought and its expression in language. The design of the present paper is to demonstrate that the structure can be found.
The Mathematical and Physical Theory of Rational Human Intelligence: Complete Empirical-Digital Properties; Full Electrochemical-Mechanical Model (Part I: Mathematical Foundations)  [PDF]
Leo Depuydt
Advances in Pure Mathematics (APM) , 2013, DOI: 10.4236/apm.2013.35071
Abstract:

The design of this paper is to present the first installment of a complete and final theory of rational human intelligence. The theory is mathematical in the strictest possible sense. The mathematics involved is strictly digital—not quantitative in the manner that what is usually thought of as mathematics is quantitative. It is anticipated at this time that the exclusively digital nature of rational human intelligence exhibits four flavors of digitality, apparently no more, and that each flavor will require a lengthy study in its own right. (For more information,please refer to the PDF.)

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