Statistics and Probability Commons^™

Performance Analysis Of An M/M/1 Queue With N-Policy Interrupted Closedown Preventive Maintenance Balking And Feedback, A. Azhagappan, T. Deepa

Applications and Applied Mathematics: An International Journal (AAM)

This paper investigates the transient and stationary behavior of a M/M/1 queueing model with N-policy, interrupted closedown, balking, feedback and preventive maintenance. The server stays dormant (off state) until N customers accumulate in the queue and then starts an exhaustive service (on state). After the service, each customer may either leave the system or get immediate feedback. When the system becomes empty, the server resumes closedown. If any arrival occurs before the completion of closedown time, the closedown work of the server is interrupted and starts the busy period in an exhaustive manner. If no arrival occurs during the …

Dividend Maximization Under A Set Ruin Probability Target In The Presence Of Proportional And Excess-Of-Loss Reinsurance, Christian Kasumo, Juma Kasozi, Dmitry Kuznetsov

Applications and Applied Mathematics: An International Journal (AAM)

We study dividend maximization with set ruin probability targets for an insurance company whose surplus is modelled by a diffusion perturbed classical risk process. The company is permitted to enter into proportional or excess-of-loss reinsurance arrangements. By applying stochastic control theory, we derive Volterra integral equations and solve numerically using block-by-block methods. In each of the models, we have established the optimal barrier to use for paying dividends provided the ruin probability does not exceed a predetermined target. Numerical examples involving the use of both light- and heavy-tailed distributions are given. The results show that ruin probability targets result in …

Comparing Means Under Heteroscedasticity And Nonnormality: Further Exploring Robust Means Modeling, Alyssa Counsell, Robert Philip Chalmers, Robert A. Cribbie

Journal of Modern Applied Statistical Methods

Comparing the means of independent groups is a concern when the assumptions of normality and variance homogeneity are violated. Robust means modeling (RMM) was proposed as an alternative to ANOVA-type procedures when the assumptions of normality and variance homogeneity are violated. The purpose of this study is to compare the Type I error and power rates of RMM to the trimmed Welch procedure. A Monte Carlo study was used to investigate RMM and the trimmed Welch procedure under several conditions of nonnormality and variance heterogeneity. The results suggest that the trimmed Welch provides a better balance of Type I error …

A Note On Inferences About The Probability Of Success, Rand Wilcox

Journal of Modern Applied Statistical Methods

There is an extensive literature dealing with inferences about the probability of success. A minor goal in this note is to point out when certain recommended methods can be unsatisfactory when the sample size is small. The main goal is to report results on the two-sample case. Extant results suggest using one of four methods. The results indicate when computing a 0.95 confidence interval, two of these methods can be more satisfactory when dealing with small sample sizes.

Inferences About The Probability Of Success, Given The Value Of A Covariate, Using A Nonparametric Smoother, Rand Wilcox

Journal of Modern Applied Statistical Methods

For a binary random variable Y, let p(x) = P(Y = 1 | X = x) for some covariate X. The goal of computing a confidence interval for p(x) is considered. In the logistic regression model, even a slight departure difficult to detect via a goodness-of-fit test can yield inaccurate results. The accuracy of a confidence interval can deteriorate as the sample size increases. The goal is to suggest an alternative approach based on a smoother, which provides a more flexible approximation of p(x).

Chemostratigraphy Of Carbonate Gravity Flows Of The Wolfcamp Formation In Crockett County, Midland Basin, Texas, Alex Blizzard, Julie Bloxson

Electronic Theses and Dissertations

Sediment gravity flows into deep-water environments are important stratigraphic traps in lithologically diverse reservoirs generating multiple plays for hydrocarbon exploration. These highly heterogeneous deposits can be studied by utilizing chemostratigraphy and higher-order sequence stratigraphy; being an accurate method for reservoir characterization. Studying these gravity flows along a carbonate platform’s slope can further expand an understanding of the stratigraphy that is filling adjacent basins. The application of elemental analyses can support in identifying mineralogy that impact reservoir quality, especially when conventional testing cannot be applied.

This study utilizes five cores containing the Wolfcamp Formation from the southeastern slope of the Central …

Inventory Models For Deteriorating Items With Power Pattern Demand Rate, Olalekan Adaraniwon Amos

Student Works (2020-2029)

Inventory management has become a prevalent topic in the field of operational research over some decades now. It cuts across many areas like management sciences, statistics and engineering. However, research focusing on inventory model with power demand pattern is quite limited. Demand patterns are defined as different ways by which products are removed out of inventory to supply customers demand during the schedule period. Power demand pattern permits suiting the demand to a more practical situation. In this research, four deterministic inventory model for deteriorating items with power demand pattern has been developed. We considered in the first models an …

The Weighted Exponentiated Family Of Distributions: Properties, Applications And Characterizations, Zubair Ahmad, Gholamhossein G. Hamedani, Mohammed Elgarhy

Mathematical and Statistical Science Faculty Research and Publications

In this paper a new method of introducing an additional parameter to a continuous distribution is proposed, which leads to a new class of distributions, called the weighted exponentiated family. A special sub-model is discussed. General expressions for some of the mathematical properties of this class such as the moments, quantile function, generating function and order statistics are derived; and certain characterizations are also discussed. To estimate the model parameters, the method of maximum likelihood is applied. A simulation study is carried out to assess the finite sample behavior of the maximum likelihood estimators. Finally, the usefulness of the proposed …

The Weibull Topp-Leone Generated Family Of Distributions: Statistical Properties And Applications, Hamid Karamikabir, Mahmoud Afshari, Haitham M. Yousof, Morad Alizadeh, Gholamhossein G. Hamedani

Mathematical and Statistical Science Faculty Research and Publications

Statistical distributions are very useful in describing and predicting real world phenomena. Consequently, the choice of the most suitable statistical distribution for modeling given data is very important. In this paper, we propose a new class of lifetime distributions called the Weibull Topp-Leone Generated (WTLG) family. The proposed family is constructed via compounding the Weibull and the Topp-Leone distributions. It can provide better fits and is very flexible in comparison with the various known lifetime distributions. Several general statistical properties of the WTLG family are studied in details including density and hazard shapes, limit behavior, mixture representation, skewness and kurtosis, …

At The Interface Of Algebra And Statistics, Tai-Danae Bradley

Dissertations, Theses, and Capstone Projects

This thesis takes inspiration from quantum physics to investigate mathematical structure that lies at the interface of algebra and statistics. The starting point is a passage from classical probability theory to quantum probability theory. The quantum version of a probability distribution is a density operator, the quantum version of marginalizing is an operation called the partial trace, and the quantum version of a marginal probability distribution is a reduced density operator. Every joint probability distribution on a finite set can be modeled as a rank one density operator. By applying the partial trace, we obtain reduced density operators whose diagonals …

Research In Short Term Actuarial Modeling, Elijah Howells

Electronic Theses, Projects, and Dissertations

This paper covers mathematical methods used to conduct actuarial analysis in the short term, such as policy deductible analysis, maximum covered loss analysis, and mixtures of distributions. Assessment of a loss variable's distribution under the effect of a policy deductible, as well as one with an implemented maximum covered loss, and under both a policy deductible and maximum covered loss will also be covered. The derivation, meaning, and use of cost per loss and cost per payment will be discussed, as will those of an aggregate sum distribution, stop loss policy, and maximum likelihood estimation. For each topic, special cases …

Analysis Of Gameplay Strategies In Hearthstone: A Data Science Approach, Connor W. Watson

Theses

In recent years, games have been a popular test bed for AI research, and the presence of Collectible Card Games (CCGs) in that space is still increasing. One such CCG for both competitive/casual play and AI research is Hearthstone, a two-player adversarial game where players seeks to implement one of several gameplay strategies to defeat their opponent and decrease all of their Health points to zero. Although some open source simulators exist, some of their methodologies for simulated agents create opponents with a relatively low skill level. Using evolutionary algorithms, this thesis seeks to evolve agents with a higher skill …

Identifying The Weak Foundation Of Public Health Resilience Fornational Disaster Policy In Indonesia’S Mid-Term Developmentagenda 2015–2019: A Policy Content Analysis, Gita Miranda Warsito, Meiwita Budiharsana, Sharyn Burns

Kesmas

Indonesia is one of the most susceptible nations toward natural disasters in the world. Since 1992, approximately 37 tsunami incidents have occurred inIndonesia, with at least 1,244 cases of natural disasters during 2018. Despite the overwhelming impact of disasters on Indonesia, Public Health Resilience,as an approach to disaster countermeasures, has been poorly elaborated in Indonesia’s development agenda (National Mid-term Development Plan (NMDP),or Rencana Pembangunan Jangka Menengah Nasional (RPJMN), 2015 - 2019). By utilizing the method of policy content analysis, this study aimed to analyzethe policy background of Public Health Resilience against disasters in the NMDP 2015 - 2019 and National …

Benson's Relaxation Therapy And Sleep Quality Among Elderlyat A Social Institution In Inakaka, Indonesia, Nur Baharia Marasabessy, Lucky Herawati, Irhamdi Achmad

Kesmas

Serious sleep disturbances among elderlies include attention or memory disorders, depression and often fall. A quasi experimental study design with pre-posttest with control group was performed to determine effect of Benson’s relaxation therapy on sleep quality among the elderly, and influences of sex, age anddisease suffered differences. Of a total of 46 elderlies from a Social Institute in Ambon, 29 were taken for the treatment group and 19 for the control group.The treatment group was interfered with Benson’s breathing relaxation for 14 days. Sleep quality was measured using Pittsburg sleep quality index form. Datawere analyzed using independent t-test and multivariate …

Effects Of Climbing Choice, Demographic, And Climate On Walking Behavior, Febriani Fajar Ekawati, Frank Francis Eves

Kesmas

Walking is a public health recommendation to increase physical activity. Although walking for transport is associated with health benefits, it is frequently avoided when a mechanized alternative is available and when the weather or individuals’ available resources are unfavorable. The present quasi-experimental study used chosen walking speed to estimate the use of resources by pedestrians and investigated 730 pedestrians’ behavior when approaching a choice point between a short stair and a ramp at an exit from a university campus toward the local train station on six separate days. Results revealed that individuals who climbed the stairs walked faster than those …

Myths About Menstrual Personal Hygiene Among Female Adolescents, Tyas Diah Palupi, Terry Y.R. Pristya, Randy Novirsa

Kesmas

Poor personal hygiene during menstruation among adolescents can lead to urinary tract infection, reproductive tract infection, and skin irritation. This studyaimed to determine the relationship between belief in myths and personal hygiene during menstruation. Cross-sectional quantitative study was conductedusing a sample of 119 10th grade female students from Tangerang 13 State Senior High School selected through purposive sampling. Logistic regressionanalysis was used in this study to determine the relationship between myths and personal hygiene after age of menarche, attitude, socioeconomic status,information, and maternal education were controlled. In the bivariate selection, modeling was completed by entering confounding and interaction variablesthen reducing …

Adaptation And Validation Of The Tamil (Sri Lanka) Version Ofthe Montreal Cognitive Assessment, Pethirupillai Amal Dinesh Coonghe, Pushpa Fonseka, Sampasivamoorthy Sivayogan, Ajantha Keshavaraj, Rahul Malhotra, Truls Ostbye

Kesmas

The study aimed to develop the Tamil (Sri Lanka) version of the Montreal Cognitive Assessment (MoCA) and investigate its reliability and validity as a briefscreening tool for mild cognitive impairment (MCI). Tamil-speaking Sri Lankan elderly with normal cognition and MCI were recruited from a neurology clinic.Adaptation of the English MoCA to the Tamil (Sri Lanka) involved context-specific content modification and translation. The content validity, reliability, sensitivity,and specificity of the tool were evaluated. Study participants were 184 older adults, comprising 85 with normal cognition and 99 neurologist-diagnosed MCI.The tool had high internal consistency (Cronbach's alpha = 0.83). Receiver operating characteristic curve …

Adverse Effect Of Aerosol Pesticide On Lung Dysfunction Amongpaddy Farmers In Purworejo, Central Java, Indonesia, Fajaria Nurcandra, Renti Mahkota, Tri Yunis Miko Wahyono

Kesmas

The World Health Organization estimated that chronic obstructive pulmonary disease (COPD) will be the highest non-communicable disease worldwide by2030, and pesticide exposure is one of major risk factors. This study aimed to determine effect of pesticide exposure on lung dysfunction among paddyfarmers. A case-control study was performed on April - May 2016 in Purworejo. The case group comprised 66 farmers suffering from lung dysfunction during2015 based on medical records, while the control group comprised 59 neighboring farmers showing normal lung function. Both case and control groups weretested using a spirometer and COPD assessment test (CAT) questionnaire. Logistic regression analysis of …

Correlation Of Knowledge And Beliefs To Adherence With Antibiotic Use In Adult Patients At A Private Hospital In Sidoarjo, Muhammad Hasan Wattiheluw, Fauna Herawati, Setiasih Setiasih, Rika Yulia

Kesmas

Infectious diseases are one of the top ten causes of death in the world. Antibiotic therapy is administered for infectious diseases, but if bacteria are exposed to antibiotics continuously, then the bacteria are able to adapt to the medication, thereby resulting in antibiotic resistance. This condition results in an increase in mortality, long hospitalization period, and increased cost of antibiotic therapy and health services. Adherence to using antibiotics may be influenced by knowledge and beliefs about them. This study aimed to understand correlation between knowledge and belief with adherence to antibiotic use at a private hospital in Sidoarjo. This cross-sectional …

Religious Leader’S Support Toward Individual At Risk Ofhiv/Aids To Attend Voluntary Counselling And Testing Service, Imelda Februati Ester Manurung, Chatarina Umbul Wahyuni, Ari Probandari

Kesmas

Religious leader is a figure who is believed to have the gift of healing. A person with illness will follow any advice the religious leader gives for his/her recovery.Based on the phenomenon, religious leader is a potential local figure to give support for individuals at risk of human immunodeficiency virus (HIV) andacquired immune deficiency syndrome (AIDS). This study aimed to determine factors related to religious leader’s support toward individuals at risk of HIV andAIDS to attend voluntary counselling and testing (VCT) service. This study was an observational analytical with cross-sectional design. The population of thisstudy was religious leader in Kupang …