Statistical stability off cumulative distributions of rainfall rate in the uk

Fukuchi, Hajime; Watson, P.A.

doi:10.1049/ip-h-2.1989.0020

Cited by 8 publications

(16 citation statements)

References 2 publications

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“…Besides, a similar variability has also been reported on rainfall rate statistics generated from rainfall rate measurements [9][10][11][12]. For both rainfall rate and rain attenuation ECCDFs, the magnitude of the observed variability can be extremely high.…”

Section: Introductionsupporting

confidence: 69%

Inter‐annual variability, risk and confidence intervals associated with propagation statistics. Part I: theory of estimation

Jeannin

Boulanger

Féral

et al. 2013

Satell Commun Network

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This set of two companion papers aims at providing a statistical framework to quantify the inter-annual variability observed on the statistics of rain attenuation or rainfall rate derived from Earth-space propagation measurements. This part I is more specifically devoted to the theoretical study of the variance of estimation of empirical complementary cumulative distribution functions (ECCDFs) derived from Earth-space rain attenuation or rainfall rate time series. To focus the analysis on the statistical variability but without loss of generality, synthetic rain attenuation time series are considered. A large variability on the ECCDFs, which depends on the duration of the synthetic data, is first put into evidence. The variance of estimation is then derived from the properties of the statistical estimator. The formulation is validated numerically, by comparison with the ECCDF variances derived from the synthetic data. The variance of the fluctuations around the CCDF is then shown to be dependent on the average of the correlation function of the time series, on the probability level and on the measurement duration. This variance of estimation is needed as a prerequisite in conjunction with the knowledge of the climatic variability to characterize the yearly fluctuations of propagation statistics computed from experimental time series. The extensions from simulations to experiments as well as the application to system planning are detailed in part II.

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Section: Introductionsupporting

confidence: 69%

Inter‐annual variability, risk and confidence intervals associated with propagation statistics. Part I: theory of estimation

Jeannin

Boulanger

Féral

et al. 2013

Satell Commun Network

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“…The variability of the resulting propagation results can be analyzed as was performed, for example, in [15,16]. The variability of rain rate statistics has also been addressed in a few papers [17][18][19][20][21].In this paper, the variability of rain rate and rain attenuation is assessed, making use of the results of a long-term propagation experiment carried out in Madrid, Spain. The Ka-band beacon of the Eutelsat Hot Bird 13A satellite (previously known as Hot Bird 6) has been continuously measured since June 2006 to the first days of July 2013, when the beacon was switched off as part of the process of reconfiguring the satellite to a different orbital position.…”

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confidence: 99%

mentioning

confidence: 99%

Experimental assessment of slant-path rain attenuation variability in the Ka-band

Garcia-Rubia

Riera

Garcia‐del‐Pino

et al. 2015

Int. J. Satell. Commun. Network.

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This study is based on the results of a slant-path Ka-band propagation experiment carried out in Madrid, Spain, regarding rain attenuation, which is the main propagation impairment in this frequency band. The experimental and statistical results correspond to seven complete years of measurements, a period large enough to accomplish a comprehensive analysis in order to characterize the variability of rain rate and attenuation. It is shown that year-to-year variability is significant in temperate climates as Madrid's. The aforementioned significance is also apparent with regards to seasonal, monthly, worst-month and hourly variability concerning rain attenuation, which are also discussed and related when possible to the variability of the rain phenomena, either represented by the total amounts of rainfall in the different periods or by rain rate statistics.Report of COST Action 255 [4], or the more recent National Technical University of Athens model [5], or the Synthetic Storm Technique (SST) [6], in addition to the global models for rain rate included in ITU-R Rec. P. 837-6 [7]. Procedures to predict worst-month statistics from average-year predictions or measurements are described in ITU-R Rec. P. 841-4 [8].Thus, the variability of propagation phenomena is not well-addressed in propagation models. Regulatory documents, such as [9,10], partially deal with this subject, which is of growing interest, as shown for example in [11]. Studies on the variability of the propagation measurements from experimental results are very scarce, being [12][13][14] some of the few examples that can be found in the literature. Another approach is the simulation of propagation results starting from long-term rain rate data that are converted into attenuation data using the SST. The variability of the resulting propagation results can be analyzed as was performed, for example, in [15,16]. The variability of rain rate statistics has also been addressed in a few papers [17][18][19][20][21].In this paper, the variability of rain rate and rain attenuation is assessed, making use of the results of a long-term propagation experiment carried out in Madrid, Spain. The Ka-band beacon of the Eutelsat Hot Bird 13A satellite (previously known as Hot Bird 6) has been continuously measured since June 2006 to the first days of July 2013, when the beacon was switched off as part of the process of reconfiguring the satellite to a different orbital position. The period of measurements includes seven complete years, which allows a comprehensive characterization of the propagation channel. The minimum number of years of measurements needed to take into account the natural variability of the rain phenomena and their effects on propagation has been discussed for a long time. A study of long-term rain rate data [17] concludes that seven is the minimum number of years for which most of the averages (of individual distributions) fall within the 5-95% confidence limits of the long-term (49 years) distribution. According to this study, longer periods, such as 1...

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“…}c is the shift parameter; for this paper we choose when C2 < 1; otherwise, }c = 0. A "shifted" gamma distribution, with }c = C2, was first proposed by Fukuchi and Watson [1989] for describing the variability of yearly time fraction of excess. However, our initial test shows that the SGM distribution with }c = C2 does not model the observed distribution of the monthly time fraction of excess very well.…”

Section: Models For Pxmentioning

confidence: 99%

“…The usage of P•wM in the last decennium has served the radio communication system planners well (see rru [ 1992] for methods and data for estimating P•wM). However, the recent changes in the telecommunication market environment have created the need for a broader range of novel grade of service concepts (e.g., the concept of "risk" discussed by Fukuchi and Watson [1989], Crane [1991], and Brussaard and Mawira [1993]). This in turn will create a demand for a large range of new statistical information.…”

Section: Introductionmentioning

confidence: 99%

Variability of monthly time fraction of excess of atmospheric propagation parameters

Mawira¹

1997

Radio Science

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This paper investigates the variability of the monthly time fraction of excess of atmospheric propagation parameters. In the first part of the paper a theoretical investigation is carried out regarding the relationship between the variability of monthly time fraction of excess vis‐a‐vis the variability of the annual‐worst‐month time fraction of excess. It is shown that the tail of the distribution of the annual‐worst‐month time fraction of excess can be derived from the average distribution of the monthly time fraction of excess without requiring detailed knowledge of the seasonal behavior of the propagation. In the second part of the paper the modeling of the average distribution of the monthy time fraction of excess (the parent distribution) is investigated using some 92 site years of data (from slant path attenuation and transhorizon measurements). Three competing models were investigated: the conditional exponential, the conditional lognormal, and the shifted gamma distribution. For the testing of the suitability of the model a novel data pooling method is applied. The tests results show the shifted gamma model as the best model, followed by the conditional exponential model and then the conditional lognormal model.

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Statistical stability off cumulative distributions of rainfall rate in the uk

Cited by 8 publications

References 2 publications

Inter‐annual variability, risk and confidence intervals associated with propagation statistics. Part I: theory of estimation

Inter‐annual variability, risk and confidence intervals associated with propagation statistics. Part I: theory of estimation

Experimental assessment of slant-path rain attenuation variability in the Ka-band

Variability of monthly time fraction of excess of atmospheric propagation parameters

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