Statistics and Probability Commons^™

Generating Random Vectors Using Transformation With Multiple Roots And Its Applications, Qidi Peng, Henry Schellhorn, Lu Zhu

Applications and Applied Mathematics: An International Journal (AAM)

An approach is proposed to generate random vectors using transformation with multiple roots. This approach generalizes the one-dimensional inverse transformation with multiple roots method to higher dimensions, i.e., to random vectors with or without densities. In this approach, multiple roots of the transformation and probabilities of selecting each of the roots are derived. The strategies for constructing such a transformation are discussed and several examples are presented to motivate this simulation approach.

A Note On An M/M/S Queueing System With Two Reconnect And Two Redial Orbits, Amina A. Bouchentouf, Hanane Sakhi

Applications and Applied Mathematics: An International Journal (AAM)

A queueing system with two reconnect orbits, two redial (retrial) orbits, s servers and two independent Poisson streams of customers is considered. An arriving customer of type i, i = 1, 2 is handled by an available server, if there is any; otherwise, he waits in an infinite buffer queue. A waiting customer of type i who did not get connected to a server will lose his patience and abandon after an exponentially distributed amount of time, the abandoned one may leave the system (lost customer) or move into one of the redial orbits, from which he makes a new …

Strong Uniform Consistency Of Hazard Function With Functional Explicatory Variable In Single Functional Index Model Under Censored Data, Omar Belabbaci, Abbes Rabhi, Sara Soltani

Applications and Applied Mathematics: An International Journal (AAM)

In this paper we deal with nonparametric estimate of the conditional hazard function, when the covariate is functional. Kernel type estimators for the conditional hazard function of a scalar response variable Y given a Hilbertian random variable X are introduced, where the observations are linked with a single-index structure. We establish the pointwise almost complete convergence and the uniform almost complete convergence (with the rate) of the kernel estimate of this model in various situations, including censored and non-censored data. The rates of convergence emphasize the crucial role played by the small ball probabilities with respect to the distribution of …

Estimation Of The Parameters Of Exponential Distribution Using Top-K-Lists, M. Ahsanullah, Mohamed Habibullah

Applications and Applied Mathematics: An International Journal (AAM)

This paper deals with the estimation of location and scale parameters of the exponential distribution based on top-k-list of a sequence of observations from a two parameter exponential distribution. The minimum variance unbiased estimates of the location and scale parameters are given. Some comparisons of the variances of these estimates with respect to that of the kth record values are given.

Analysis Of Repairable M[X]/(G1,G2)/1 - Feedback Retrial G-Queue With Balking And Starting Failures Under At Most J Vacations, P. Rajadurai, M. C. Saravanarajan, V. M. Chandrasekaran

Applications and Applied Mathematics: An International Journal (AAM)

In this paper, we discuss the steady state analysis of a batch arrival feedback retrial queue with two types of services and negative customers. Any arriving batch of positive customers finds the server is free, one of the customers from the batch enters into the service area and the rest of them get into the orbit. The negative customer, is arriving during the service time of a positive customer, will remove the positive customer in-service and the interrupted positive customer either enters the orbit or leaves the system. If the orbit is empty at the service completion of each type …

Testing Equality Of Locally Stationary Covariances With Application To Mortality Rate Modeling, Zahra Teimouri, Ali R. Taheriyoun

Applications and Applied Mathematics: An International Journal (AAM)

No abstract provided.

Sensitivity Analysis In Correlated Bivariate Continuous And Binary Responses, Zh. Thmasebinejad, E. Tabrizi

Applications and Applied Mathematics: An International Journal (AAM)

Factorization models for correlated binary and continuous responses are proposed. Full likelihood-based approach that yields maximum likelihood estimates of the model parameters is used. A common way to investigate if perturbations of model components influence key results of the analysis is to compare the results derived from the original and perturbed models using an influence graph. So small perturbation influence of the correlation parameters of the models on likelihood displacement and a general index of sensitivity (ISNI) are also studied. The model is illustrated using data from arthritis and body mass index data. The effect of systolic blood pressure, gender …

A Semi-Parametric Approach For Analyzing Longitudinal Measurements With Non-Ignorable Missingness Using Regression Spline, Taban Baghfalaki, Saeide Sefidi, Mojtaba Ganjali

Applications and Applied Mathematics: An International Journal (AAM)

In longitudinal studies with missingness, shared parameter models (SPM) provide appropriate framework for the joint modeling of the measurements and missingness process. These models use a set of random effects to account for the interdependence between two processes. Sometimes the longitudinal responses may not be fitted well by using a linear model and some non-parametric methods have to be used. Also, parametric assumptions are typically made for the random effects distribution, and violation of those may affect the parameter estimates and standard errors. To overcome these problems, we propose a semi-parametric model for the joint modelling of longitudinal markers and …

A Study Of The Parametric And Nonparametric Linear-Circular Correlation Coefficient, Robin Tu

Statistics

Circular statistics are specialized statistical methods that deal specifically with directional data. Data that is angular require specialized techniques due to the modulo 2π (in radians) or modulo 360^◦ (in degrees) nature of angles.

Correlation, typically in terms of Pearson’s correlation coefficient, is a measure of association between two linear random variables x and y. In this paper, the specific circular technique of the parametric and nonparametric linear-circular correlation coefficient will be explored where correlation is no longer between two linear variables x and y, but between a linear random variable x and circular random variable θ.

A simulation …

#Twittercritic: Sentiment Analysis Of Tweets To Predict Tv Ratings, Isabel Litton

Statistics

Twitter has rapidly become one of the most popular sites of the Internet. It functions not just as a microblogging service, but as a crowdsourcing tool for listening, promotion, insight and much more. From the perspective of TV networks, tweets capture the real time reactions of viewers, making them an ideal indicator of a show’s ratings. This paper predicts Internet Movie Database (IMDB) television ratings by text mining Twitter data.

Tweets for five television shows were downloaded over a period of several months utilizing a SAS macro. Television show data, such as rating, show title, episode title, and more were …

Outlier Detection And A Method Of Adjustment For The Iranian Manufacturing Establishment Survey Data, Zahra R. Ghahroodi, Taban Baghfalaki, Mojtaba Ganjali

Applications and Applied Mathematics: An International Journal (AAM)

The role and importance of the industrial sector in the economic development necessitate the need to collect and to analyze accurate and timely data for exact planning. As the occurrence of outliers in establishment surveys are common due to the structure of the economy, the evaluation of survey data by identifying and investigating outliers, prior to the release of data, is necessary. In this paper, different robust multivariate outlier detection methods based on the Mahalanobis distance with blocked adaptive computationally efficient outlier nominators algorithm, minimum volume ellipsoid estimator, minimum covariance determinant estimator and Stahel-Donoho estimator are used in the context …

Hurricanes And Climate The U.S. Clivar Working Group On Hurricanes, Kevin J.E. Walsh, Suzana J. Camargo, Gabriel A. Vecchi, Anne Sophie Daloz, James Elsner, Kerry Emanuel, Michael Horn, Young-Kwon Lim, Malcom Roberts, Christina Patricola, Enrico Scoccimarro, Adam H. Sobel, Sarah Strazzo, Gabrielle Villarini, Michael Wehner, Ming Zhao, James P. Kossin, Tim Larow, Kazuyoshi Oouchi, Sigfried Schubert, Hui Wang, Julio Bacmeister, Ping Chang, Fabrice Chauvin, Christiane Jablonowski, Arun Kumar, Hiroyuki Murakami, Tomoaki Ose, Kevin A. Reed, Ramalingam Saravanan, Yohei Yamada, Colin M. Zarzycki, Pier Luigi Vidale, Jefferey A. Jonas, Naomi Henderson

Publications

While a quantitative climate theory of tropical cyclone formation remains elusive, considerable progress has been made recently in our ability to simulate tropical cyclone climatologies and to understand the relationship between climate and tropical cyclone formation. Climate models are now able to simulate a realistic rate of global tropical cyclone formation, although simulation of the Atlantic tropical cyclone climatology remains challenging unless horizontal resolutions finer than 50 km are employed. This article summarizes published research from the idealized experiments of the Hurricane Working Group of U.S. Climate and Ocean: Variability, Predictability and Change (CLIVAR). This work, combined with results from …

Gaussian Copula Mixed Models With Non-Ignorable Missing Outcomes, N. Jafari, E. Tabrizi, E. B. Samani

Applications and Applied Mathematics: An International Journal (AAM)

This paper is concerned with the analysis of mixed data with ordinal and continuous outcomes with the possibility of non - ignorable missing outcomes . A copula-based regression model is proposed that accounts for associations between ordinal and continuous outcomes . Our approach entails specifying underlying latent variables for the mixed outcomes to indicate the latent mechanisms which generate the ordinal and continuous variables . Maximum likelihood estimation of our model parameters is implemented using standard software such as function nlminb in R . Results of simulations concern the relative biases of parameter estimates of joint and marginal models using …

Exponential Type Product Estimator For Finite Population Mean With Information On Auxiliary Attribute, Monika Saini, Ashish Kumar

Applications and Applied Mathematics: An International Journal (AAM)

The main objective of the present study is to develop a new modified unbiased exponential type product estimator for the estimation of the population mean. The proposed estimator possesses the characteristic of a bi-serial negative correlation between the study variable and its auxiliary attribute. Efficiency comparison has been carried out between the proposed estimator and the existing estimators theoretically and numerically.

Extremal H-Colorings Of Graphs With Fixed Minimum Degree, John Engbers

Mathematics, Statistics and Computer Science Faculty Research and Publications

For graphs G and H, a homomorphism from G to H, or H-coloring of G, is a map from the vertices of G to the vertices of H that preserves adjacency. When H is composed of an edge with one looped endvertex, an H-coloring of G corresponds to an independent set in G. Galvin showed that, for sufficiently large n, the complete bipartite graph Κ is the n-vertex graph with minimum degree δ that has the largest number of independent sets. In this article, we begin the project of generalizing this result …

Free Split Bands, Francis Pastijn, Justin Albert

Mathematics, Statistics and Computer Science Faculty Research and Publications

We solve the word problem for the free objects in the variety consisting of bands with a semilattice transversal. It follows that every free band can be embedded into a band with a semilattice transversal.

Statistical Consulting - Senior Project, Cary Hernandez

Statistics

No abstract provided.

The Relationship Between Self-Determination And Client Outcomes Among The Homeless, Samuel M. Hanna

Electronic Theses, Projects, and Dissertations

This paper has attempted to determine if there is a significant relationship between self-determination and client outcomes among the homeless. The study has been based upon the conceptual framework set forth in Self-Determination Theory. The purpose of the study was to explore the relationship between self-determination and client outcomes among the homeless. Using a data collection instrument, based on empirically validated instrumentation, clients from several homeless service providers in the City of San Bernardino were assessed for the level of self-determination and autonomy support they experience within these agencies. Outcome measures included such things as whether the client was going …

Pola Konsumsi Dengan Terjadinya Sindrom Metabolik, Suhaema Suhaema, Herta Masthalina

Kesmas

Terjadinya sindrom metabolik diduga berhubungan dengan pergeseran gaya hidup masyarakat yang berubah menuju masyarakat modern, dari mengonsumsi makanan tradisional beralih ke makanan instan dan kebaratbaratan. Penelitian ini bertujuan untuk mengetahui prevalensi sindrom metabolik dan determinannya dari pola konsumsi, meliputi konsumsi sayur dan buah serta pola makan makanan manis, asin, berlemak, lauk hewani berpengawet, dan penggunaan penyedap. Penelitian ini merupakan bagian dari analisis lanjut data Riset Kesehatan Dasar tahun 2013 dengan desain potong lintang. Jumlah sampel setelah pembobotan adalah 1.878.578 orang dengan kriteria berusia 18 tahun ke atas. Pengumpulan data pola konsumsi, antropometri, klinis, dan biomedis telah dilakukan. Analisis data menggunakan …

Peran Kepemimpinan, Modal Sosial, Akses Informasi Serta Petugas Dan Fasilitator Kesehatan Dalam Pemberdayaan Masyarakat Bidang Kesehatan, Endang Sutisna Sulaeman, Bhisma Murti, Waryana Waryana

Kesmas

Faktor internal komunitas yang berperan dalam pemberdayaan masyarakat bidang kesehatan adalah kepemimpinan dan modal sosial, sedangkan faktor eksternal komunitas yang berperan adalah akses informasi kesehatan, petugas dan fasilitator kesehatan. Tujuan penelitian adalah mengetahui dan menganalisis peran kepemimpinan, modal sosial, akses informasi kesehatan, petugas, dan fasilitator kesehatan dalam pemberdayaan masyarakat bidang kesehatan. Desain penelitian adalah potong lintang dengan pendekatan penelitian kualitatif melalui metode studi kasus terpancang. Penelitian dilakukan selama tiga bulan di Kabupaten Tulungagung, Jawa Timur dengan mengambil dua desa, yaitu Desa Bulus di Kecamatan Bandung dan Desa Tanggul Kundung di Kecamatan Besuki tahun 2013. Hasil penelitian menunjukkan bahwa peran kepemimpinan …