Search · four archives
Search · four archives
21 papers · ranked by Valyu relevance
G. Böhm, G. Zech
The statistics of the sum of random weights where the number of weights is Poisson distributed has important applications in nuclear physics, particle physics and astrophysics. Events are frequently weighted according to their acceptance or relevance to a certain type of reaction. The sum is described by the compound…
Antony Pearson, Manuel E. Lladser
Data taking values on discrete sample spaces are the embodiment of modern biological research. “Omics” experiments produce millions of symbolic outcomes in the form of reads (i.e., DNA sequences of a few dozens to a few hundred nucleotides). Unfortunately, these intrinsically non-numerical datasets are often highly…
Abdelaati Daouia, Simone A. Padoan, Gilles Stupfler
This paper investigates pooling strategies for tail index and extreme quantile estimation from heavy-tailed data. To fully exploit the information contained in several samples, we present general weighted pooled Hill estimators of the tail index and weighted pooled Weissman estimators of extreme quantiles calculated…
Stephen Burgess, Verena Zuber, Apostolos Gkatzionis, Jessica MB Rees + 1 more
A robust method for Mendelian randomization does not require all genetic variants to be valid instruments to give consistent estimates of a causal parameter. Several such methods have been developed, including a mode-based estimation method giving consistent estimates if a plurality of genetic variants are valid…
Alan Frieze, Wesley Pegden, Gregory B. Sorkin
We determine, asymptotically in n, the distribution and mean of the weight of a minimumweight k-clique (or any strictly balanced graph H) in a complete graph Kn whose edge weights are independent random values drawn from the uniform distribution or other continuous distributions. For the clique, we also provide…
Jean-François Plante
Rank correlation is invariant to bijective marginal transformations, but it is not immune to confounding. Assuming a categorical confounding variable is observed, the author proposes weighted coefficients of correlation for continuous variables developed within a larger framework based on copulas. While the weighting…
Clemens Heuberger, Sara Kropf, Helmut Prodinger
The number of positive and negative carries in the addition of two independent random signed digit expansions of given length is analyzed asymptotically for the (q, d)-system and the symmetric signed digit expansion. The results include expectation, variance, covariance between the positive and negative carries and a…
Mei Ling Huang, Christine Nguyen
For extreme events, estimation of high conditional quantiles for heavy tailed distributions is an important problem. Quantile regression is a useful method in this field with many applications. Quantile regression uses an L1-loss function, and an optimal solution by means of linear programming. In this paper, we…
Ola Hössjer, Måns Karlsson
In this paper we survey and unify a large class or L-functionals of the conditional distribution of the response variable in regression models. This includes robust measures of location, scale, skewness, and heavytailedness of the response, conditionally on covariates. We generalize the concepts of L-moments (Sittinen…
Pratik S. Sachdeva, Jesse A. Livezey, Michael R. DeWeese
Simultaneous recordings from the cortex have revealed that neural activity is highly variable, and that some variability is shared across neurons in a population. Further experimental work has demonstrated that the shared component of a neuronal population’s variability is typically comparable to or larger than its…
Xiaoping Shi, Xiang-Sheng Wang, Nancy Reid, Carlos Alberto De Bragança Pereira
'Carlos Alberto De Bragança Pereira'] A change point is a location or time at which observations or data obey two different models: before and after. In real problems, we may know some prior information about the location of the change point, say at the right or left tail of the sequence. How does one incorporate the…
N. M. Kilany
The Lomax distribution (Pareto Type-II) is widely applicable in reliability and life testing problems in engineering as well as in survival analysis as an alternative distribution. In this paper, Weighted Lomax distribution is proposed and studied. The density function and its behavior, moments, hazard and survival…
Laura Eslava, Sayle Sigarreta Ricardo, Arno Siri-Jégousse
We prove that the generalized Randić index over graphs following the Erdos-Rényi model, for both the sparse and dense regimes, is concentrated around its mean when the number of vertices tends to infinity.
Mohamed Y. Hassan
In this study, we propose an Equi-Under-dispersed Poisson distribution derived from a finite mixture of weighted Poisson distributions. This probability distribution is a simple, parsimonious, and flexible option suitable for modeling under-dispersed count data. It aims to overcome some of the weaknesses of existing…
Suman Majumder, Adhidev Biswas, Tania Roy, Subir Kumar Bhandari + 1 more
'Ayanendranath Basu'] Abstract We discuss a new weighted likelihood method for parametric estimation. The method is motivated by the need for generating a simple estimation strategy which provides a robust solution that is simultaneously fully efficient when the model is correctly specified. This is achieved by…
Hailin Lu, Dongchen Sun, Jing Hao, Yongbo Li + 2 more
'Khandaker Noman'] The rationality of heavy vehicle models is crucial to the structural safety assessment of bridges. To establish a realistic heavy vehicle traffic flow model, this study proposes a heavy vehicle random traffic flow simulation method that fully considers the vehicle weight correlation based on the…
E. G. Cooch, D. I. MacKenzie, J. A. Royle
Data augmentation is now a standard device across capture–recapture and occupancy analysis: adding a fixed number M of all-zero encounter histories replaces a model of unknown dimension with one of fixed dimension. Although M is often treated as a computational tuning choice, it also specifies a finite superpopulation…
Mark Kelbert, El’mira Yu. Kalimulina, Nikolai Leonenko
We study binary hypothesis testing for i.i.d. observations under a multiplicative context weight. For the optimal weighted total loss, defined as the sum of weighted type-I and type-II losses, we prove the logarithmic asymptotic $L_{n}^{∗}=exp({-nD_{C}^{w}(P,Q)+o(n)}),n\rightarrow\infty$, where $D_{C}^{w}$ is the…
Justin Eilertsen, Wylie Stroberg, Santiago Schnell
A theoretical analysis is performed on the nonlinear ordinary differential equations that govern the dynamics of a coupled enzyme catalyzed reaction. The assay consists of a non-observable reaction and an indicator (observable) reaction, where the product of the first reaction is the enzyme for the second. Both…
Evan Cesanek, Zhaoran Zhang, James N. Ingram, Daniel M. Wolpert + 1 more
The ability to predict the dynamics of objects, linking applied force to motion, underlies our capacity to perform many of the tasks we carry out on a daily basis. Thus, a fundamental question is how the dynamics of the myriad objects we interact with are organized in memory. Using a custom-built three-dimensional…
Jürgen Köfinger, Gerhard Hummer
The proper balancing of information from experiment and theory is a long-standing problem in the analysis of noisy and incomplete data. Viewed as a Pareto optimization problem, improved agreement with the experimental data comes at the expense of growing inconsistencies with the theoretical reference model. Here, we…