Random Walks on the Half-Axis. I. Boundary Problems and an Ergodic Theorem

1981 ◽  
Vol 26 (1) ◽  
pp. 43-55
Author(s):  
V. M. Shurenkov
2002 ◽  
Vol 2 (3) ◽  
pp. 260-282
Author(s):  
V.L. Makarov ◽  
I.I. Lazurchak

AbstractTo solve the boundary problems for singular ordinary differential equations of the second order the functional-discrete (FD-) method is proposed. The method gives the possibility of obtaining an approximate solution in the numerical-analytical form in the whole half-axis with a guaranteed accuracy. Sufficient conditions of convergence of the method at a rate of a geometrical progression are found. The two-sided approximations are established and an explicit evaluation of the two-sided estimation width is given. In conclusion the results of numerical experiments obtained by the system of computer algebra are presented.


Author(s):  
Mikhail Menshikov ◽  
Serguei Popov ◽  
Andrew Wade
Keyword(s):  

2000 ◽  
Vol 16 (1) ◽  
pp. 53-58 ◽  
Author(s):  
Hans Ottosson ◽  
Martin Grann ◽  
Gunnar Kullgren

Summary: Short-term stability or test-retest reliability of self-reported personality traits is likely to be biased if the respondent is affected by a depressive or anxiety state. However, in some studies, DSM-oriented self-reported instruments have proved to be reasonably stable in the short term, regardless of co-occurring depressive or anxiety disorders. In the present study, we examined the short-term test-retest reliability of a new self-report questionnaire for personality disorder diagnosis (DIP-Q) on a clinical sample of 30 individuals, having either a depressive, an anxiety, or no axis-I disorder. Test-retest scorings from subjects with depressive disorders were mostly unstable, with a significant change in fulfilled criteria between entry and retest for three out of ten personality disorders: borderline, avoidant and obsessive-compulsive personality disorder. Scorings from subjects with anxiety disorders were unstable only for cluster C and dependent personality disorder items. In the absence of co-morbid depressive or anxiety disorders, mean dimensional scores of DIP-Q showed no significant differences between entry and retest. Overall, the effect from state on trait scorings was moderate, and it is concluded that test-retest reliability for DIP-Q is acceptable.


Crisis ◽  
2001 ◽  
Vol 22 (3) ◽  
pp. 125-131 ◽  
Author(s):  
Ludmila Kryzhanovskaya ◽  
Randolph Canterbury

Summary: This retrospective study characterizes the suicidal behavior in 119 patients with Axis I adjustment disorders as assessed by psychiatrists at the University of Virginia Hospital. Results indicated that 72 patients (60.5%) had documented suicide attempts in the past, 96% had been suicidal during their admission to the hospital, and 50% had attempted suicide before their hospitalization. The most commonly used method of suicide attempts was overdosing. Of the sample group with suicide attempts in the past, 67% had Axis II diagnoses of borderline personality disorder and antisocial personality disorder. Adjustment disorder diagnosis in patients with the suicide attempts was associated with a high level of suicidality at admission, involuntary hospitalization and substance-abuse disorders. Axis II diagnoses in patients with adjustment disorders constituted risk factors for further suicidal behavior. Additional future prospective studies with reliability checks on diagnosis of adjustment disorders and suicidal behavior are needed.


Crisis ◽  
2018 ◽  
Vol 39 (5) ◽  
pp. 318-325 ◽  
Author(s):  
Barbara Stanley ◽  
Glenn W. Currier ◽  
Megan Chesin ◽  
Sadia Chaudhury ◽  
Shari Jager-Hyman ◽  
...  

Abstract. Background: External causes of injury codes (E-codes) are used in administrative and claims databases for billing and often employed to estimate the number of self-injury visits to emergency departments (EDs). Aims: This study assessed the accuracy of E-codes using standardized, independently administered research assessments at the time of ED visits. Method: We recruited 254 patients at three psychiatric emergency departments in the United States between 2007 and 2011, who completed research assessments after presenting for suicide-related concerns and were classified as suicide attempters (50.4%, n = 128), nonsuicidal self-injurers (11.8%, n = 30), psychiatric controls (29.9%, n = 76), or interrupted suicide attempters (7.8%, n = 20). These classifications were compared with their E-code classifications. Results: Of the participants, 21.7% (55/254) received an E-code. In all, 36.7% of research-classified suicide attempters and 26.7% of research-classified nonsuicidal self-injurers received self-inflicted injury E-codes. Those who did not receive an E-code but should have based on the research assessments had more severe psychopathology, more Axis I diagnoses, more suicide attempts, and greater suicidal ideation. Limitations: The sample came from three large academic medical centers and these findings may not be generalizable to all EDs. Conclusion: The frequency of ED visits for self-inflicted injury is much greater than current figures indicate and should be increased threefold.


Crisis ◽  
2011 ◽  
Vol 32 (5) ◽  
pp. 283-287 ◽  
Author(s):  
L. F. Chan ◽  
T. Maniam ◽  
A. S. Shamsul

Background: Depressed inpatients constitute a high-risk population for suicide attempts. Aims: To describe the interactions of clinical and psychosocial risk factors influencing suicide attempts among a Malaysian sample of depressed inpatients. Methods: Seventy-five subjects were diagnosed with a depressive disorder according to the Structured Clinical Interview for DSM-IV Axis I Disorders-Clinical Version (SCID-CV). Data on suicide attempts, suicidal ideation (Scale for Suicidal Ideation, SSI), depression severity (Beck’s Depression Inventory, BDI), recent life-event changes (Social Readjustment Rating Scale, SRRS), sociodemographic and other relevant clinical factors were collected. Results: A third of the subjects presented after a current suicide attempt. Significant factors for a current suicide attempt were race, religion, recent life-event changes, suicidal ideation, and alcohol use disorder. Independent predictive risk factors for a current suicide attempt were Chinese race, recent marital separation, major mortgage or loans, and being newly diagnosed with depression. Any recent change in personal habits was shown to be a protective factor against current suicide attempt. Age and gender were nonsignificant factors. Conclusions: The findings are generally consistent with existing studies and highlight the role of psychosocial risk factors.


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