Statistical analysis of seismic data on earthquakes in the area of the Vrancea focus

1970 ◽  
Vol 60 (4) ◽  
pp. 1089-1099
Author(s):  
Ion Săcuiu ◽  
Dan Zorilescu
Keyword(s):  
Statistical Analysis ◽  
Poisson Process ◽  
Seismic Data ◽  
Time Interval ◽  
Generation Process ◽  
Present Contribution ◽  
Important Conclusion ◽  
Distribution Laws ◽  
Frequency Magnitude

abstract The present contribution deals with distribution laws of the earthquake's magnitude, the number of earthquakes (by modelling the generation process as a Poisson process) and the time interval between two successive earthquakes. The most important conclusion arrived at is that in the area of the Vrancea focus the distribution of the magnitudes is lognormal and brings forth a frequency-magnitude relation of the form log λ ( Μ ) = a + b log M + c ( log M ) 2 , not a linear one. A correlation between the magnitude and the time interval of two successive earthquakes is considered and a series of seismic indices are introduced.

scholarly journals Probability distributions of COVID-19 tweet posted trends use a nonhomogeneous Poisson process

2020 ◽  
Vol 1 (4) ◽  
pp. 229-238
Author(s):  
Devi Munandar ◽  
Sudradjat Supian ◽  
Subiyanto Subiyanto
Keyword(s):  
Social Media ◽  
Poisson Process ◽  
Exponential Distribution ◽  
Probability Distributions ◽  
Nonhomogeneous Poisson Process ◽  
Time Interval ◽  
Initial State ◽  
Time Intervals ◽  
Time Parameters ◽  
Parameter Values

The influence of social media in disseminating information, especially during the COVID-19 pandemic, can be observed with time interval, so that the probability of number of tweets discussed by netizens on social media can be observed. The nonhomogeneous Poisson process (NHPP) is a Poisson process dependent on time parameters and the exponential distribution having unequal parameter values and, independently of each other. The probability of no occurrence an event in the initial state is one and the probability of an event in initial state is zero. Using of non-homogeneous Poisson in this paper aims to predict and count the number of tweet posts with the keyword coronavirus, COVID-19 with set time intervals every day. Posting of tweets from one time each day to the next do not affect each other and the number of tweets is not the same. The dataset used in this study is crawling of COVID-19 tweets three times a day with duration of 20 minutes each crawled for 13 days or 39 time intervals. The result of this study obtained predictions and calculated for the probability of the number of tweets for the tendency of netizens to post on the situation of the COVID-19 pandemic.

scholarly journals Monitoring High Throughput Distributed System using Statistical Data Analysis

2020 ◽  
Vol 8 (6) ◽  
pp. 4590-4596
Keyword(s):  
Time Series ◽  
Statistical Analysis ◽  
Distributed System ◽  
High Throughput ◽  
Statistical Data ◽  
Time Interval ◽  
Statistical Data Analysis ◽  
Cloud Data ◽  
Data Pipeline ◽  
Cloud Data Centers

Monitoring high throughput distributed system by using a statistical analysis of the “historical time series” of an Instrumentation Data”. “The Pipeline has been made to process the information which can be otherwise called data pipeline, is a lot of information handling components associated in arrangement, where yield of one component is the contribution of the next one”. Several codes are giving different visualization for statistical analysis of data. “Network and Cloud Data Centers” generate a lot of data every second; this data can be gathered as period arrangement information. A timeseries is a grouping taken at progressive similarly dispersed focuses in time that implies at a particular time interval to a particular time, the estimations of explicit information that was taken is known as information of a time-series. “This time-series information can be gathered utilizing framework measurements like CPU, Memory, and Disk utilization”. The TICK and ELK Stack is abbreviation for a foundation of open source instruments worked “to make collection, storage, graphing, and alerting” on time arrangement data incredibly easy. As an information collector, using Telegraf, “for storing and analyzing” information and the time-series database InfluxDB and Elasticsearch. For plotting and visualizing used Grafana and Kibana. Watchman is utilized for alert refinement and once system metrics usage exceeds the specified threshold, the alert is generated and sends it to the Telegram.

scholarly journals Maximizing the Expected Duration of Owning a Relatively Best Object in a Poisson Process with Rankable Observations

2009 ◽  
Vol 46 (02) ◽  
pp. 402-414
Author(s):  
Aiko Kurushima ◽  
Katsunori Ano
Keyword(s):  
Poisson Process ◽  
Stopping Time ◽  
Fixed Time ◽  
Time Interval ◽  
Prior Density ◽  
Deterministic Equation ◽  
Fixed Time Interval ◽  
Unknown Number ◽  
Random Intensity ◽  
Time Selection

Suppose that an unknown number of objects arrive sequentially according to a Poisson process with random intensity λ on some fixed time interval [0,T]. We assume a gamma prior density G λ(r, 1/a) for λ. Furthermore, we suppose that all arriving objects can be ranked uniquely among all preceding arrivals. Exactly one object can be selected. Our aim is to find a stopping time (selection time) which maximizes the time during which the selected object will stay relatively best. Our main result is the following. It is optimal to select the ith object that is relatively best and arrives at some time s i (r) onwards. The value of s i (r) can be obtained for each r and i as the unique root of a deterministic equation.

scholarly journals Recurrent frequency-size distribution of characteristic events

2009 ◽  
Vol 16 (2) ◽  
pp. 333-350 ◽  
Author(s):  
S. G. Abaimov ◽  
K. F. Tiampo ◽  
D. L. Turcotte ◽  
J. B. Rundle
Keyword(s):  
Weibull Distribution ◽  
Passage Time ◽  
Time Interval ◽  
Weibull Distributions ◽  
Event Sequences ◽  
San Andreas ◽  
Statistical Frequency ◽  
Earthquake Sequences ◽  
Best Fit ◽  
Frequency Magnitude

Abstract. Statistical frequency-size (frequency-magnitude) properties of earthquake occurrence play an important role in seismic hazard assessments. The behavior of earthquakes is represented by two different statistics: interoccurrent behavior in a region and recurrent behavior at a given point on a fault (or at a given fault). The interoccurrent frequency-size behavior has been investigated by many authors and generally obeys the power-law Gutenberg-Richter distribution to a good approximation. It is expected that the recurrent frequency-size behavior should obey different statistics. However, this problem has received little attention because historic earthquake sequences do not contain enough events to reconstruct the necessary statistics. To overcome this lack of data, this paper investigates the recurrent frequency-size behavior for several problems. First, the sequences of creep events on a creeping section of the San Andreas fault are investigated. The applicability of the Brownian passage-time, lognormal, and Weibull distributions to the recurrent frequency-size statistics of slip events is tested and the Weibull distribution is found to be the best-fit distribution. To verify this result the behaviors of numerical slider-block and sand-pile models are investigated and the Weibull distribution is confirmed as the applicable distribution for these models as well. Exponents β of the best-fit Weibull distributions for the observed creep event sequences and for the slider-block model are found to have similar values ranging from 1.6 to 2.2 with the corresponding aperiodicities CV of the applied distribution ranging from 0.47 to 0.64. We also note similarities between recurrent time-interval statistics and recurrent frequency-size statistics.

scholarly journals An Evaluation of the Wind Energy Resources along the Spanish Continental Nearshore

Energies ◽  
2020 ◽  
Vol 13 (15) ◽  
pp. 3986 ◽  
Author(s):  
Florin Onea ◽  
Andrés Ruiz ◽  
Eugen Rusu
Keyword(s):  
Wind Speed ◽  
Wind Energy ◽  
Wind Turbines ◽  
Offshore Wind ◽  
Time Interval ◽  
Average Wind Speed ◽  
Important Conclusion ◽  
Comprehensive Picture ◽  
Mean Wind Speed ◽  
Wind Resources

The main objective of the present work is to provide a comprehensive picture of the wind conditions in the Spanish continental nearshore considering a state-of-the-art wind dataset. In order to do this, the ERA5 wind data, covering the 20-year time interval from 1999 to 2018, was processed and evaluated. ERA stands for ’ECMWF Re-Analysis’ and refers to a series of research projects at ECMWF (European Centre for Medium-Range Weather Forecasts) which produced various datasets. In addition to the analysis of the wind resources (reported for a 100 m height), the performances of several wind turbines, ranging from 3 to 9.5 MW, were evaluated. From the analysis of the spatial maps it was observed that the Northern part of this region presents significant wind resources, the mean wind speed values exceeding 9 m/s in some locations. On the other hand, in regard to the Southern sector, more energetic conditions are visible close to the Strait of Gibraltar and to the Gulf of Lion. Nevertheless, from the analysis of the data corresponding to these two Southern nearshore points it was observed that the average wind speed was lower than 8 m/s in both summer and winter months. Regarding the considered wind turbines, the capacity factor did in general not exceed 20%—however, we did observe some peaks that could reach to 30%. Finally, it can be highlighted that the Northern part of the Spanish continental nearshore is significant from the perspective of extracting offshore wind energy, especially considering the technologies based on floating platforms. Furthermore, because of the clear synergy between wind and wave energy, which are characteristic to this coastal environment, an important conclusion of the present work is that the implementation of joint wind–wave projects might be effective in the Northwestern side of the Iberian nearshore.

THE RECALL DASH SCORE — A NOVEL RESEARCH TOOL

Hand Surgery ◽  
2013 ◽  
Vol 18 (01) ◽  
pp. 11-14 ◽  
Author(s):  
Nicholas Reynolds ◽  
Sunil Thirkannad
Keyword(s):  
Statistical Analysis ◽  
Patient Population ◽  
Hand Function ◽  
Hand Surgery ◽  
Clinic Visit ◽  
Research Tool ◽  
Time Interval ◽  
Dash Score ◽  
Pre Treatment

The DASH score is a universally accepted method for assessment of hand function. However, there are occasions when a pre-treatment DASH score is unavailable. This study provides a solution to this situation. An initial DASH score was obtained from all patients at the time of their first clinic visit. A second score was obtained at the time of final follow-up asking the patient to "Recall" their pre-treatment status. The two scores were compared with appropriate statistical analysis. Thirty-eight patients were included in the study and scores were obtained at an average time interval of 32 weeks (6–121 weeks). Excellent agreement was noted for the ability of the patient population to recall their scores with a group correlation of 0.86. This proves that the Recall DASH score is an excellent and useful research tool for use in hand surgery.

EFFECTIVE DETERMINATION OF POISSON NOISE

2003 ◽  
Vol 06 (04) ◽  
pp. 609-617 ◽  
Author(s):  
SI SI
Keyword(s):  
Poisson Process ◽  
Poisson Noise ◽  
Time Interval ◽  
Characteristic Functional ◽  
Dimensional Parameter ◽  
Higher Dimensional ◽  
Unit Time Interval ◽  
Definition Of

We give an effective definition of higher dimensional parameter Poisson noise. The idea comes from the observation of the conditional probablistic behavior of a Poisson process under the condition that it jumps over the unit time interval exactly as many times as n. Also, taking the optimality into account we can give effective determination of a Poisson noise with multi-dimensional parameter, which is in agreement with the formal generalization of a Poisson noise in terms of the characteristic functional.

Statistical analysis of seismic data from north-western and western Argentina

1992 ◽  
Vol 139 (2) ◽  
pp. 277-292 ◽  
Author(s):  
A. M. Osella ◽  
N. C. Sabbione ◽  
D. C. Cernadas
Keyword(s):  
Statistical Analysis ◽  
Seismic Data ◽  
North Western

Note on the reversible counters system of Lampard

1974 ◽  
Vol 11 (3) ◽  
pp. 624-628 ◽  
Author(s):  
R. M. Phatarfod
Keyword(s):  
Poisson Process ◽  
Negative Binomial ◽  
Branching Processes ◽  
Poisson Processes ◽  
Time Interval ◽  
Input Process ◽  
Markov Sequence ◽  
The Times ◽  
Bivariate Poisson Process

The paper considers an extension to the reversible counters system of Lampard [1]. In Lampard's model the input processes are two independent Poisson processes; this results in a gamma Markov sequence for the time-interval between successive output pulses and a negative binomial Markov sequence for the counts at the times of out-put pulses. We consider the input process to be a bivariate Poisson process and show that the first out-put process given above is not affected, while the second out-put-process becomes of a type studied in the theory of branching processes.

scholarly journals The Day after Mass COVID-19 Vaccination: Higher Hypermetabolic Lymphadenopathy Detection on PET/CT and Impact on Oncologic Patients Management

Cancers ◽  
2021 ◽  
Vol 13 (17) ◽  
pp. 4340
Author(s):  
Cristina Ferrari ◽  
Anna Giulia Nappi ◽  
Giulia Santo ◽  
Paolo Mammucci ◽  
Dino Rubini ◽  
...  
Keyword(s):  
Differential Diagnosis ◽  
Statistical Analysis ◽  
Retrospective Analysis ◽  
Cancer Patients ◽  
Detection Rate ◽  
Time Interval ◽  
Time Intervals ◽  
Vaccine Injection ◽  
Pet Ct ◽  
Oncologic Patients

The widespread COVID-19 vaccination led to unexpected PET findings. Notably, axillary and interpectoral lymphadenopathies ipsilateral to the vaccine inoculation were observed. We aimed to assess the hypermetabolic lymphadenopathy (HLN) detection rate on PET/CT. Secondly, we investigated factors that might help in HLN differential diagnosis. A retrospective analysis on 1196 consecutive patients referred for a PET/CT was performed. All patients were asked about the date, type and site of vaccine injections. HLNs were recorded and categorized according to risk classes and SUVmax grades. A statistical analysis was performed to assess the correlation between HLN detection and different clinical/vaccine data. HLN detection rate was 15% and 27% in the No Vac- and vac-groups (p < 0.001), respectively. In the Vac-group, age (p < 0.001) and time interval from vaccine-to-PET (p = 0.010) were inversely correlated with HLN detection. Furthermore, SUVmax significantly changed during time intervals, with lower values beyond 20 days (p < 0.001). In the era of mass COVID-19 vaccination, a higher axillary and interpectoral lymphadenopathies detection ipsilateral to vaccine injection was observed. These PET findings can be wrongly interpreted, complicating cancer patients’ management. To minimize these pitfalls, a detailed vaccination anamnesis must be recorded and should take into account the appropriate PET schedule.

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