Table of Content

20 May 1995, Volume 31 Issue 3

Previous Issue    Next Issue

The Asymptotic Distributions for Sums of Order Statistics (II)

CHENG Shihong,PENG Liang

1995, 31(3):  255-276. 

Asbtract ( )  

Related Articles | Metrics

Let {X_n, n≥1}be a sequence of i.i.d.random variables with acommon nondegenerate d.f., for each n≥1, denote X_{n, 1}≤...≤X_{n, n} as the order statistics of X₁，…，X_n and for integers 1≤l_n≤r_n≤n and nonnegative real numbers p_n and q_n, define S_n(l_n, r_n)=∑^r_n-1_i=l _n+1X_{n, i} +p_nX_{n, ln}+q_nX_{n, rn}. Assume that { l_n, n≥1} satisfies either l_n=l for all n≥1 (l is a fixed positive integer), or l_n→∞ and l_n/(n+1)→0 and that {r_n, n≥1} satisfies n-r_n+1→∞　and r_n/(n+1>→λ∈(0, 1]. We will discuss asymptotic distributions of normalized sums {(S_n(l_n, r_n)-β _n)/α _n, n≥1}. Results on trimmed sums and winsorized sums will be obtained as special cases of the above sums. Especially, we will improve a Griffin's result on asymptotic normality of winsorized sums and give a positive reply for one of his conjectures.

A Characterization of Harmonic Surfaces in CPⁿ with Special Constant Kähler Angle

MO Xiaohuan

1995, 31(3):  277-281. 

Asbtract ( )  

Related Articles | Metrics

We correct a misstatement of Bolton and Woodward, and construct some examples of non±holomorphic curves in CPⁿ with constant Kähler angle 0 or π.

On Theorems of Frank-Weissenborn and Hayman-Miles

CHUANG Chitai

1995, 31(3):  282-290. 

Asbtract ( )  

Related Articles | Metrics

The main purpose of this paper is to give some applications of a formula on the inversion of a linear differential polynomial obtained by the author in a previous work. One application concerns the proof of a theorem of Frank-Weissenborn and another application concerns an extension of a theorem of Hayman-Miles. As consequences of the results so obtained and theorems on linear differential equations, some other extensions of the theorems of Frank-Weissenborn and Hayman-Miles are also obtained.

Rate of Strong Convergence of Pickands'Estimator

PAN Jiazhu

1995, 31(3):  291-296. 

Asbtract ( )  

Related Articles | Metrics

In this note, we establish results on the rate of a.s. convergence of Pickands' estimator for the index of an extreme-value distribution.

The Strain Feedback Control Based on the Strain Motion Equation

BAI Hao,CHEN Decheng

1995, 31(3):  297-302. 

Asbtract ( )  

Related Articles | Metrics

The strain feedback control method, which based on the property of the control of flexible structure, is introduced. First, the strain motion equation which is equivelent to the displacenent motion equation is derived, then the feasibility of using structure's strain to control the vibration of the structureis discussed. The conclusion is that the vibration and stress of the structure and stress can simultaneously be surpressed and they the same decaying rate.

On the General Solutions of Axisymmetric Problems of a Transversely Isotropic Body

WANG Wei,XU Sinsheng

1995, 31(3):  303-308. 

Asbtract ( )  

Related Articles | Metrics

This paper proceeds from generalized Papkovich-Neuber axisymmetric general solution^[1] of the axisymmetric problems of transversely isotropic elasticity in a cylindrical coordinate system. By omitting or making conjugate for the potential functions in it, five special general solutions are derived. Their comple-teness is also proved.

A Study of Parameters on Speaker Recognition and Creation of Speech Database

WU Suzhen,WU Ahua

1995, 31(3):  316-322. 

Asbtract ( )  

Related Articles | Metrics

Describes briefly a study of a few fundamental problemson Speaker Recognition. Speech parameters are the base and a speech database is needful for speaker recognition. Our study used VQ technic and materiel of speech database which created by us. It is shown by experiments that in some introduced parameters a mixed parameter is the best, secondly is cepstral coefficient.

Asymptotic Properties of Weight-α Bers' Space QA^α(Ω) on Hyperbolic Regions

WANG Wei

1995, 31(3):  309-315. 

Asbtract ( )  

Related Articles | Metrics

Let ΩΩ(z)｜dz｜be the hyperbolic metric on Ω. δ_Ω(z)＝dist(z，Ω);［δ_Ω(z)］^－α｜dz| is called α-quasihyperbolic metric on Ω. This paper discusses the asymptotic properties of QA^α(Ω), QB^α(Ω)and QT^α(Ω)under the α-quasihyperbolic metric, and their relations with similar function spaces under the hyperbolic metric.

Some Progress of Atmospheric Physics and Atmospheric Exploration

ZHAO Bolin

1995, 31(3):  323-338. 

Asbtract ( )  

Related Articles | Metrics

In this paper, some progresses of atmospheric physics and atmospheric exploration have been described. It includes: ground-based atmospheric remote sensing, cloud physics, satellite meteorology, nowcasting and global climate change. It will be paid attention tothe atmospheric remote sensing taking the role in these areas. At last, some researches of atmospheric remote sensing of Peking University will be discussed as the examples. It includes: microwave radiometers and its application in remote sensing of environment, atmosphere cloud and rain effect on microwave communication, optical and satellite remote sensing of atmospheric pollution, research of satellite meteorology and World Climate Research Programm.

Observation Studies for H₂O masers in Star Fomation Regions

Wu Yuefang,M. Miller,N.Miller,LU Jin,MAO Ruiqing,SUN Jinjiang,HAN Fu

1995, 31(3):  339-344. 

Asbtract ( )  

Related Articles | Metrics

Observations were made for about 40H₂O masers with 13.7m telescope at Qin Ha Station of Purple Mountain Observatory since September of 1992. Results show that time variations of water masers are common in star formation regions. Sources with flux density variation above 20% are 75% of the sample. The detected ratein high mass outflow sources is higher than that in low mass ones. The correlations of maser occurence frequency with CO line widthand infrared emission intensity are discussed.

Late Quaternary Movement on the Heihekou Fault, West Gansu, China

LI Youli,LI Baojun,YANG Jingchun

1995, 31(3):  351-357. 

Asbtract ( )  

Related Articles | Metrics

The Heihekou fault, being apart 30 km from Zhangye in the southwest, is a reversed fault which trends to the northwest and dips to the southwest. It is found that the fault on a natural section along the bank of the Heihe River dips steeply to the southwest, and that the Ordovician system thrusts to the northe-ast on the Late Pleistocene alluviam with a throw of 17m. A fault scarp was formed in the fault movement on terraces of the Heihe River. The terrace withan estimated age of 5 ka B.P. is vertically dislocated by 2m, age of 10 ka B.P. by 4m, and age of 13 ka B.P. by 9m. These dislocations and the sediments near the fault indicate there had been 3 movement enents at least. The vertical dislocationis 2～5 m each, the average recurrence interval is 3～5 ka, and the average slip rate is 1.67～0.4 mm/a.

Granites and Their Tectonic Setting

WU Tairan

1995, 31(3):  358-365. 

Asbtract ( )  

Related Articles | Metrics

There is a genetic relationship between the granites and their tectonic setting. Because activity of magma is controlledby the tectonic environment. In every stage of crustal evolution, the component of granites shows out a regular tendency, in which the major, trace and rare earth elements were changed. A serial methods were set up by mathematical models with granites in the typical tectonic environments. There are two diagrams for the tectonic interpretation especially for extentional environment. One is AFC diagram which is a reflection of major element in various grantic rocks. Another is F1-F2 diagram which is set up by step-discriminatory analysis. The methods to calculate the parameter ofdiagrams are showed in the paper. They can be used to discriminate the tectonic environment in which the granite sets.

The Two Dimensional Numerical Simulation of Temperatureand Humidity Profiles Structure of Atmospheric Boundary Layer over Gobi Underlying Surface

LIU Shuhua,HONG Zhongxiang,LI Jun,LIU Huizhi

1995, 31(3):  345-350. 

Asbtract ( )  

Related Articles | Metrics

In this paper, the two-dimensional numerical model are used for simulating the profiles of the potential temperature and specific humidity over homogeneous Gobi underlying surface under convective conditions. This result explains the observed fact that most of the profiles of the potential temperature and specific humidity. The model also gives a fair description of the time variation of the profiles of the potential temperature and specific humidity and the depth of the mixed layer. Comparison with observation shows that the results obtained from the numerical model are in good agreement with observations of the potential temperature and specific humidity, including the change of the depth of the mixed layer with time.

Plagioclase Phenocrysts from Eldjurti Granite and Mafic Microgranuclar Enclave

ZHU Yongfeng

1995, 31(3):  366-372. 

Asbtract ( )  

Related Articles | Metrics

Eldjurti granite is a small intrusion roughly 2.0 Ma.y.old, which is located in the Caucasus in the South-East part of Russia. The intrusion is structurally simple with a nearly homogeneous porphyritic biotite granite from centre to margin. Throughout the pluton there are randomly distributed mafic microgranular enclaves. Both in this enclave and granite exist a kind of plagioclase phenocryst, which has a parthy core. ln such plagioclase there are two composition surfaces, which divided the plagioclase phenocryst into three parts: parthy core, inner rim, and outer rim. The composition surface between parchy core and inner rim is coincident with a resorption surface, which implies that the core has been fused. Plagioclase phenocryst from enclave has a wide inner rim and a narrow, discontinuous outer rim, in contrast, plagioclase from granite has a wide outer rim, but a narrow, discontinuousinner rim. Such characteristics allows us to propose a model which give a reasonable explanation for the formation and the characteristics of the mafic microgranuclar enclaves in Eldjurti granite.

Studies on Control of Excessive Phytoplankton Growth by Macrozooplankton

CHEN Jiding,REN Jiuchang,CAI Xiaoming

1995, 31(3):  373-382. 

Asbtract ( )  

Related Articles | Metrics

Several enclosure experiments, which combined various factors such as season, nutrient concentration, macrozooplankton species and density, were conducted to examine the control effect of macrozooplankton on excessive growth of phytop-lankton. At total P-concentrations between 0.039 and 0.119mg/L, total N-concentrations between 1.01 and 1.78mg/L, mega-herbivorous zooplankton such as Daphnia magna can effectively control the overgrowth of phytoplankton in summer and autumn (June-Oct.), resulting in improving of the water quality. Community response such as chlorophyll a concentration can be depressed by macrozooplankton. At the population level, not only the net growth rate of green algaespecies (such as Ankistrodesmus angustus Bern., Pediastrum simplex (Mey) Lemm., Selenastrum minutum(Nag.) Coll.and Scenedesmus) can be reduced by D magna, but also that of diatoms species (such as Melosira) and blue green algae species (eg.Merismopedia elegans A.Br.) can be decreased. Biomanipulation is regarded as an effective maethod to control excessive phytoplankton growth. Introducing mega-herbivorous zooplankton into lakes and(or) reducing grazing pressure of fishor producing shelters are proposed to achieve sufficient density of macrozooplankton.